Fractions

Fractions or rational numbers can take all kinds of format. Decimal fractions have a decimal point between the whole and the partial numbers; a numerator separated from its denominator by a vinculum denotes what most people think of as a fraction.  In addition to this, there are partial, improper and algebraic fractions, not to mention percentages and ratio.

Equivalent fractions point to the same place on the number line. They have the same value and so are equal to each other. This sometimes proves useful when doing calculations with fractions as moving formats sometimes makes the calculation easier to do. Often, fractions, decimals and percentages are referred to as FDP.

Decimals 1

Ordering, adding, partitioning and finding number bonds to 1 in decimal format.

Ordering, adding, partitioning and finding number bonds to 1 in decimal format.

Decimals 1c

Adding whole numbers and writing numbers as figures.

Adding whole numbers and writing numbers as figures.

Decimals 1e

Putting decimals on a number line, adding numbers, converting text to figures, partitioning decimals, ordering decimals, adding decimals and locating places on a number line.

Putting decimals on a number line, adding numbers, converting text to figures, partitioning decimals, ordering decimals, adding decimals and locating places on a number line.

Decimals 2

Ordering, adding, partitioning, subtracting and finding number bonds to 100 in decimal format.

Ordering, adding, partitioning, subtracting and finding number bonds to 100 in decimal format.


Decimals 2c

Adding whole numbers and writing numbers as figures, number bonds to 100, addition of whole numbers and partition decimals.

Adding whole numbers and writing numbers as figures.

Decimals 2e

Putting decimals on a number line, money, rounding to the nearest 1, 10, 100 and 1000; adding numbers, converting text to figures, partitioning decimals, ordering decimals, adding decimals and locating places on a number line.

Putting decimals on a number line, adding numbers, converting text to figures, partitioning decimals, ordering decimals, adding decimals and locating places on a number line.

Decimals 3

Placing numbers on a numberline, number bonds to 10, saying decimals, addition, ordering, partitioning, money and converting text to figures.

Placing numbers on a numberline, number bonds to 10, saying decimals, addition, ordering, partitioning, money and converting text to figures.

Decimals 3c

Adding whole numbers and writing numbers as figures, partitioning and rounding to the nearest 10 and 100.

Adding whole numbers and writing numbers as figures, partitioning and rounding to the nearest 10 and 100.


Decimals 3e

Putting decimals on a number line, adding numbers, converting text to figures, partitioning decimals, ordering decimals, rounding, adding decimals and locating places on a number line.

Putting decimals on a number line, adding numbers, converting text to figures, partitioning decimals, ordering decimals, rounding, adding decimals and locating places on a number line.

Decimals 4

Placing numbers on a numberline, number bonds to 10, saying decimals, addition, ordering, partitioning, money and converting text to figures.

Placing numbers on a numberline, number bonds to 10, saying decimals, addition, ordering, partitioning, money and converting text to figures.

Decimals 4c

Adding whole numbers, writing numbers as figures, number bonds to 100.

Adding whole numbers, writing numbers as figures, number bonds to 100.

Decimals 4e

Putting decimals on a number line, adding numbers, converting text to figures, partitioning decimals, ordering decimals, rounding, adding decimals and locating places on a number line.

Putting decimals on a number line, adding numbers, converting figures to words, partitioning decimals, ordering decimals, rounding, adding decimals and locating places on a number line.


Decimals 5

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Decimals 5c

Rounding, partitioning, converting text to figures, adding decimals.

Rounding, partitioning, converting text to figures, adding decimals.

Decimals 6

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Decimals 6c

Rounding, partitioning, converting text to figures, adding and ordering decimals.

Rounding, partitioning, converting text to figures, adding and ordering decimals.


Decimals 7

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Decimals 7c

Number lines and adding decimals and integers.

"Number lines and adding decimals and integers.

Decimals 8

Ordering numbers, converting text to figures, addition, subtraction, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Ordering numbers, converting text to figures, addition, placing numbers on a numberline, problem solving, talking numbers, number bonds to 10, converting figures to words.

Decimals 8c

Addition, rounding, partitioning, number bonds to 100, text to figures.

"Addition, rounding, partitioning, number bonds to 100, text to figures.


Mixed Numbers

Changing mixed numbers into improper fractions and then multiplying mixed numbers.

Changing mixed numbers into improper fractions and then multiplying mixed numbers.

Consolidating Fractions

Multiplication, division, squaring fractions, changing terminating decimals into fractions

Multiplication, division, squaring fractions, changing terminating decimals into fractions

Fractions and Percentages

Bar models, percentage of amounts, reciprocals, equating fraction of amounts with percentage of amounts, rounding decimals to two decimal places, greater than, less than, percentage of a fraction of an amount.

Bar models, percentage of amounts, reciprocals, equating fraction of amounts with percentage of amounts, rounding decimals to two decimal places, greater than, less than, percentage of a fraction of an amount.

Calculating with Fractions

Mixed numbers to improper fractions, multiplying fractions, division or fractions, addition and subtraction of fractions.

Mixed numbers to improper fractions, multiplying fractions, division or fractions, addition and subtraction of fractions.


Calculating with Fractions 2

Mixed numbers to improper fractions, multiplying fractions, division or fractions, addition and subtraction of fractions, Problems involving fractions.

Mixed numbers to improper fractions, multiplying fractions, division or fractions, addition and subtraction of fractions, Problems involving fractions.

Fraction Wall

Different fractions ready for shading to compare one fraction to another.

Different fractions ready for shading to compare one fraction to another.

Ordering Fractions

Put fractions with different denominators into order.

Put fractions with different denominators into order.

Ratio and Fractions

Write one number as a fraction of another, write ratios, simplify ratios, write ratios in the form 1:n

Write one number as a fraction of another, write ratios, simplify ratios, write ratios in the form 1:n


Video on adding and subtracting fractions

Video on adding and subtracting fractions

Video on adding and subtracting fractions

Video on adding fractions

Video on adding and subtracting fractions

Video on adding and subtracting fractions

Adding Mixed Numbers

Adding mixed numbers using symbols as the question.

Adding mixed numbers using symbols as the question.

Cancelling down fractions

Cancelling down fractions.  Do the cancelling before you start doing any multiplying.

Cancelling down fractions. Do the cancelling before you start doing any multiplying.


Video on Cancelling down fractions

Video on cancelling down fractions.  Do the cancelling before you start doing any multiplying.

Video on cancelling down fractions. Do the cancelling before you start doing any multiplying.

Cancelling down fractions 2

Cancelling down fractions.  Do the cancelling before you start doing any multiplying.

Fewer questions on cancelling down fractions. Do the cancelling before you start doing any multiplying.

Conversion of fractions and decimals

Convert decimals to fractions, decimals into mixed numbers, fractions into mixed numbers.

Convert decimals to fractions, decimals into mixed numbers, fractions into mixed numbers.

Video on counters for fractions

Using counters to find the fraction of an amount.

Using counters to find the fraction of an amount.


Decimal Calculations

Booklet on decimals using all four number operations, problems including perimeter, area and money.

Booklet on decimals using all four number operations, problems including perimeter, area and money, ordering fractions, decimals and percentages.

Decimal to fraction conversions

A self-marking spreadsheet on converting tenths, hundredths and common fractions from decimals to fractions and vice versa.

A self-marking spreadsheet on converting tenths, hundredths and common fractions from decimals to fractions and vice versa.

Video on dividing fractions

A video on dividing fractions using Keep Change Flip method.

A video on dividing fractions using Keep Change Flip method.

PowerPoint on dividing fractions

A PowerPoint presentation on dividing fractions using Keep Change Flip method.

A PowerPoint presentation on dividing fractions using Keep Change Flip method.


Equivalent fractions

A self-marking spreadsheet on equivalent fractions.

A self-marking spreadsheet on equivalent fractions.

Equivalent fractions 2

A self-marking spreadsheet on equivalent fractions.

A self-marking spreadsheet on equivalent fractions. Slightly harder questions that Equivalent Fractions 1.

Video on equivalent fractions

Video on equivalent fractions.

Video on equivalent fractions.

PowerPoint FD Conversion

Conversion between decimals and fractions.

Conversion between decimals and fractions.


Video on multiplying fractions

Video on multiplying fractions.

Video on multiplying fractions.

Fractions

Bar model, fractions of amounts, multiplying fractions, dividing fractions, multiplying and adding mixed numbers, eqivalence, reciprocals

Bar model, fractions of amounts, multiplying fractions, dividing fractions, multiplying and adding mixed numbers, eqivalence, reciprocals

Identify shaded fraction of a whole

Identify shaded fractions including halves, quarters, wholes, eighths, equivalence if you insist on each answer given in its simplest form.

Identify shaded frations including halves, quarters, wholes, eighths, equivalence if you insist on each answer given in its simplest form.

Fractions Booklet

18 pages of questions on fractions including fraction of shaded shapes, fractions of an amount, equivalent fractions, FDP, ordering FDP, percentage of amounts, percentage increase, problems invloving FDP, SATs questions on fractionsm, division of fractions, addition and subtraction of fractions with the same denominator, addition of fractions with mixed denominators, addition of mixed numbers

18 pages of questions on fractions including fraction of shaded shapes, fractions of an amount, equivalent fractions, FDP, ordering FDP, percentage of amounts, percentage increase, problems invloving FDP, SATs questions on fractionsm, division of fractions, addition and subtraction of fractions with the same denominator, addition of fractions with mixed denominators, addition of mixed numbers.


Video on FDP equivalence

Video on equivalent fractions, decimals and percentages and showing you how to convert from one format to another.

Video on equivalent fractions, decimals and percentages and showing you how to convert from one format to another.

More complex shaded fraction of a whole

Identify shaded fractions and will include equivalence if you insist on each answer given in its simplest form.

Identify more complex shaded fractions and will include equivalence if you insist on each answer given in its simplest form.

Tenths of amounts

Find tenths of amounts and how many 10p pieces make up an amount of money.

Find tenths of amounts and how many 10p pieces make up an amount of money.

Calculating fractions

Cancelling down fractions, addition of fractions, subtraction of fractions, multiplying fractions, dividing fractions, equivalent fractions, multiplying mixed numbers, dividing mixed numbers, fractions of amounts, conversion of decimals to fractions, decimals to mixed numbers, convert fractions to mixed numbers.

Cancelling down fractions, addition of fractions, subtraction of fractions, multiplying fractions, dividing fractions, equivalent fractions, multiplying mixed numbers, dividing mixed numbers, fractions of amounts, conversion of decimals to fractions, decimals to mixed numbers, convert fractions to mixed numbers.


Key Stage 2 Fractions

Eleven pages of Key Stage Two Year Six SATs questions on fractions.

Eleven pages of Key Stage Two Year Six SATs questions on fractions.

NC Level 1 and 2 questions on fractions

National curriculum levels one and two questions on fractions.

National curriculum levels one and two questions on fractions.

Adding and subtracting mixed numbers

Self marking spreadsheet on adding and subtracting mixed numbers.

Self marking spreadsheet on adding and subtracting mixed numbers.

More challenging shaded fraction of a whole

Identify shaded fractions and will include equivalence if you insist on each answer given in its simplest form.

Identify shaded fractions and will include equivalence if you insist on each answer given in its simplest form.


Adding and subtracting mixed numbers 2

Self marking spreadsheet on adding and subtracting mixed numbers.

Self marking spreadsheet on adding and subtracting mixed numbers.

Challenging shaded fraction of a whole

Identify shaded fractions and will include equivalence if you insist on each answer given in its simplest form.

Identify shaded fractions and will include equivalence if you insist on each answer given in its simplest form.

Key Stage 2 Fractions 2

27 pages of Key Stage Two Year Six SATs questions on fractions.

27 pages of Key Stage Two Year Six SATs questions on fractions.

Video on multiplying mixed numbers

Video on multiplying mixed numbers

Video on multiplying mixed numbers.


Video on multiplying fractions

Video on multiplying fractions

Video on multiplying fractions

Ordering fractions

Example on ordering fractions followed by easier questions and then more challenging ones.

Example on ordering fractions followed by easier questions and then more challenging ones.

Video on reciprocals

Video on reciprocals

Video on reciprocals.

Reciprocals 1

Reciprocals

The reciprocal of a number multiplied by the number gives a product of 1. See if you can figure out which value proves to be the reciprocal.


Reciprocals 2

Reciprocals

The reciprocal of a number multiplied by the number gives a product of 1. See if you can figure out which value proves to be the reciprocal.

Video on converting a recurring decimal into a fraction

Video on converting a recurring decimal into a fraction

Video on converting a recurring decimal into a fraction.

Fraction Cards

Fraction cards which I use for ordering fractions and mixed numbers.

Fraction cards which I use for ordering fractions and mixed numbers.

Fractions Revision

Revision of basic fractions information including identifying fractions, adding and subtracting related and unrelated fractions, multiplying and dividing fractions.

Revision of basic fractions information including identifying fractions, adding and subtracting related and unrelated fractions, multiplying and dividing fractions.