6th grade fractions
6th grade fractions (class 6): a quiz for kids, then every skill in order with lessons, a checklist and a 4-week plan for parents.
🧒 Kids: answer 10 grade 6 fraction questions. Tap Check ✓ after each one!
What 6th grader learn about fractions
In grade 6 (class 6), children divide fractions by fractions and solve word problems with them. They use all four operations with fractions and mixed numbers fluently, simplify with the greatest common factor, and move freely between fractions, decimals, percentages and ratios.
- 6.NS.A.1: divide fractions by fractions and solve word problems.
- 6.NS.B.4: find the greatest common factor and least common multiple.
- 6.RP.A.3: use ratio and rate reasoning, including percentages as a rate per 100.
- 6.NS.C.6: place rational numbers, including fractions, on a number line.
The big idea in grade 6
Grade 6 finishes the four operations with dividing a fraction by a fraction (6.NS.A.1). Children learn what it means (how many 1/4s fit in 3/4?) and the shortcut: multiply by the reciprocal, often called keep, change, flip.
The rest of the year is about fluency and using fractions. Children add, subtract, multiply and divide fractions and mixed numbers without fuss, convert between fractions, decimals and percentages, and simplify using the greatest common factor.
Fractions then power ratios, rates and percentages (6.RP): a ratio of 3 to 4 is the fraction 3/4, and 3/4 = 75%. Children who are secure with fractions find grade 6 ratio work much easier.
6th grade fraction skills, in order
Work down the list. Each lesson explains the idea for parents with pictures and has a tool or quiz for your child.
| # | Skill (lesson) | Practice |
|---|---|---|
| 1 | Dividing fractions | Practice |
| 2 | Dividing by whole numbers | Practice |
| 3 | Multiplying fractions | Practice |
| 4 | Simplifying fractions | Practice |
| 5 | Adding and subtracting mixed numbers | Practice |
| 6 | Fractions to decimals | Practice |
| 7 | Fraction word problems | Quiz on the page |
| 8 | Multiplying mixed numbers | Step-by-step calculator |
| 9 | Dividing mixed numbers | Step-by-step calculator |
| 10 | Greatest common factor | GCF tool |
By the end of grade 6, your child should be able to…
- Divide 3/4 ÷ 3/8 and explain what the answer means.
- Divide mixed numbers: 2 1/2 ÷ 1 1/4.
- Simplify 18/24 using the greatest common factor.
- Write 3/8 as a decimal and 0.35 as a fraction.
- Write 3/5 as a percentage.
- Solve a two-step fraction word problem.
Unsure where your child is? The fraction levels page has a short test for every step from halves to dividing fractions.
A 4-week plan for 6th grade fractions
| When | Focus |
|---|---|
| Week 1 | What dividing by a fraction means; keep, change, flip |
| Week 2 | Dividing mixed numbers; word problems with division |
| Week 3 | Fluency with all four operations; simplifying with the GCF |
| Week 4 | Fractions, decimals and percentages; ratios |
Add 5 minutes a day with the fraction practice tool, check answers with the fraction calculator, and use the fraction wall whenever a picture helps.
More for grade 6
All 6th grade math · CBSE class 6 maths parent guide · 6th grade division · Fractions quiz for every grade · Fractions for kids
What to say to your child
A short script for teaching it the first time. Pause after each line and let your child do the next step.
- “How many quarter-cups fit in 3 cups?” (12.) “So 3 ÷ 1/4 = 12.”
- “Dividing by 1/4 is the same as multiplying by…” (4!)
- “Now 3/4 ÷ 3/8. Keep 3/4, change to ×, flip 3/8.” (3/4 × 8/3 = 2.)
- “Check: two lots of 3/8 make 6/8 = 3/4.” (Yes.)
- “What is 3/4 as a percentage?” (75%.)
More worked examples
Example 1: dividing: 2/3 ÷ 1/6
2/3 × 6 = 12/3 = 4. Four sixths fit in two thirds.
Example 2: mixed numbers: 2 1/4 ÷ 1 1/2
9/4 ÷ 3/2 = 9/4 × 2/3 = 18/12 = 1 1/2.
Example 3: percentage: 7/20
7/20 = 35/100 = 0.35 = 35%.
Practice questions (answers below)
Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.
- 2 ÷ 1/3
- 3/4 ÷ 1/2
- 5/6 ÷ 5/12
- 2 1/2 ÷ 1/4
- Simplify 18/24
- 2/3 × 9/10
- Write 3/8 as a decimal
- Write 3/5 as a percentage
- How many 3/4-cup servings in 6 cups?
- Stretch: 3 1/3 ÷ 1 1/9
Show the answers
- 6
- 1 1/2
- 2
- 10
- 3/4
- 3/5
- 0.375
- 60%
- 8
- 3
Common mistakes
How to teach it at home
Five minutes a day
Short daily practice beats long weekend sessions.
Fold and cut
Paper strips, pizza and chocolate bars make every fraction idea visible.
Use real life
Recipes, measuring jugs, clocks and sharing snacks are all fractions.
By grade
- Before: 5th grade fractions
- After: grade 7 math (rational numbers and proportions)
Not sure where to start?
The free 6th grade math check-up tests every grade 6 topic in 18–22 minutes. It shows which topics are solid and which lesson to start with.
Worksheets and practice
Dividing fractions worksheet: printable PDF with an answer key.
Last reviewed
Questions parents ask
What fractions should a 6th grader know?
Dividing fractions and mixed numbers, fluent adding, subtracting and multiplying, simplifying with the greatest common factor, and converting between fractions, decimals and percentages.
Why does keep, change, flip work?
Dividing by a fraction asks how many of it fit. Dividing by 1/4 is the same as multiplying by 4, and dividing by 3/4 is the same as multiplying by 4/3, the reciprocal.
Is there a 6th grade fractions quiz?
Yes. The quiz at the top of this page has 10 mixed grade 6 fraction questions. Each one is marked straight away, with a hint for every mistake. Play again for a fresh set, or try the fractions quiz for every grade.
What is class 6 fractions?
Class 6 in India and grade 6 in the US cover very similar fraction skills. This page lists them in order, starting with dividing fractions, dividing by whole numbers, multiplying fractions.
How much fraction practice does a 6th grader need?
About 10 minutes a day: 5 minutes on the current skill with the practice tool and 5 minutes of mixed review. Short daily practice works better than long weekly sessions.