Year 7 in England
6th grade fractions
7 6th grade fractions skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.
Mixed review
Ten questions drawn from every skill below.
Divide fractions by fractions
CCSS 6.NS.A.1England: Y6 FractionsEngland: KS3 Number
Example
2/3 ÷ 2/5 = ? Give your answer in simplest form.
- 2/3 ÷ 2/5 = 2/3 × 5/2
- = 10/6
- = 5/3
Answer: 5/3
Find reciprocals of fractions, mixed numbers and whole numbers
CCSS 6.NS.A.1England: KS3 Number
Example
What is the reciprocal of 1/3?
- 1/3 × 3 = 1
- The reciprocal is 3.
Answer: 3
Builds on: Multiply fractions
Leads to: Divide a whole number by a fraction, Divide a fraction by a whole number
Divide a whole number by a fraction
CCSS 6.NS.A.1England: KS3 Number
Example
Work out 3 ÷ 7/8. Give a whole number, or a fraction in simplest form.
- 3 ÷ 7/8 = 3 × 8/7
- = 24/7
Answer: 24/7
Divide a fraction by a whole number
CCSS 6.NS.A.1England: KS3 Number
Example
Work out 1/3 ÷ 4. Give a fraction in simplest form.
- 1/3 × 1/4
- = 1/12
Answer: 1/12
Multiply mixed numbers
CCSS 5.NF.B.6CCSS 6.NS.A.1England: Y6 FractionsEngland: KS3 Number
Example
Work out 3 1/3 × 5. Give a mixed number or fraction in simplest form.
- 3 1/3 = 10/3
- 10/3 × 5 = 50/3
- = 16 2/3
Answer: 50/3
Builds on: Multiply fractions, Mixed numbers and improper fractions
Leads to: Divide mixed numbers
Divide mixed numbers
CCSS 6.NS.A.1England: KS3 Number
Example
Work out 4 1/4 ÷ 3. Give a mixed number or fraction in simplest form.
- 17/4 × 1/3 = 17/12
- = 1 5/12
Answer: 17/12
Builds on: Multiply mixed numbers, Divide fractions by fractions
Reason about fraction division: method and size of the answer
CCSS 6.NS.A.1England: KS3 Number
Example
Which calculation gives the same answer as 1/4 ÷ 4/9?
- 1/4 ÷ 4/9 = 1/4 × 9/4
Answer: 1/4 × 9/4
Builds on: Divide fractions by fractions
Keep exploring
6th grade topic pages
More for 6th grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
- Math by topicFractions, times tables, long division and more
- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.