Free worksheet · Australian Curriculum

Adding fractions worksheets with answers

Adding fractions comes down to one rule: make the denominators the same first. Learn every type of question, then make a free worksheet with full solutions.

Make a worksheet ↓How to do it and a quick check ↓

Topic guide

Adding fractions, explained

From the simplest case to mixed numbers and word problems, with an example of each.

1. Same denominator

Add the numerators and keep the denominator:

$\frac{2}{7} + \frac{3}{7} = \frac{5}{7}$

Never add the denominators. $\frac{2}{7} + \frac{3}{7}$ is not $\frac{5}{14}$ .

2. One denominator is a multiple of the other

Change one fraction so they match, then add and simplify:

$\frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$

3. Different denominators

Find the lowest common denominator (LCD), the smallest number both denominators divide into. For $4$ and $5$ it is $20$ :

$\frac{3}{4} + \frac{2}{5} = \frac{15}{20} + \frac{8}{20} = \frac{23}{20} = 1\frac{3}{20}$

4. Mixed numbers

Add the whole numbers, then the fractions, then tidy up:

$1\frac{2}{3} + 2\frac{3}{4} = 3 + \frac{8}{12} + \frac{9}{12} = 3 + \frac{17}{12} = 4\frac{5}{12}$

5. Subtracting works the same way

Make the denominators the same, then subtract the numerators:

$\frac{5}{6} - \frac{1}{4} = \frac{10}{12} - \frac{3}{12} = \frac{7}{12}$

6. Word problems

Sam eats $\frac{1}{2}$ of a pizza and Mia eats $\frac{1}{3}$ . Together they eat

$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

of the pizza, so $\frac{1}{6}$ is left. Look for words like "altogether" and "in total" for adding, and "left" or "more than" for subtracting.

Quick check: 10 questions

Try each one, then open the answer.

Calculate $\frac{1}{5} + \frac{3}{5}$ .
Answer
$\frac{4}{5}$
Calculate $\frac{2}{9} + \frac{4}{9}$ and simplify.
Answer
$\frac{6}{9} = \frac{2}{3}$
Calculate $\frac{1}{2} + \frac{1}{4}$ .
Answer
$\frac{3}{4}$
Calculate $\frac{2}{3} + \frac{1}{6}$ .
Answer
$\frac{5}{6}$
Calculate $\frac{3}{5} + \frac{1}{4}$ .
Answer
$\frac{12}{20} + \frac{5}{20} = \frac{17}{20}$
Calculate $\frac{5}{6} + \frac{3}{4}$ .
Answer
$\frac{10}{12} + \frac{9}{12} = \frac{19}{12} = 1\frac{7}{12}$
Calculate $1\frac{1}{2} + 2\frac{1}{3}$ .
Answer
$3\frac{5}{6}$
Calculate $\frac{7}{8} - \frac{1}{3}$ .
Answer
$\frac{21}{24} - \frac{8}{24} = \frac{13}{24}$
Calculate $2\frac{3}{4} + 1\frac{5}{6}$ .
Answer
$3 + \frac{19}{12} = 4\frac{7}{12}$
Ella runs $\frac{3}{4}$ km, then walks $\frac{2}{3}$ km. How far does she go altogether?
Answer
$\frac{9}{12} + \frac{8}{12} = \frac{17}{12} = 1\frac{5}{12}$ km

Generate a free maths worksheet

Six questions across Foundation, Standard and Extension, with full worked solutions, written to the Australian Curriculum.

Want more than a worksheet?

Practice built from mistakes.

A worksheet on adding fractions is a good start. Tuterly goes further: it turns any question students get wrong into fresh practice, at the right level, on what’s likely to be in the next test or exam.

~90% of Bayside Academics students using it weekly improved their test marks

Of the Bayside Academics students who used Tuterly at least once a week, about 90% improved their school test marks.

Based on the actual school test marks of 100+ Bayside Academics students (in person and online) in Years 7 to 10, before and after using Tuterly at least once a week. How we measured this

Free worksheet Tuterly

The questionsFree worksheetThe same questions for every student on this topic.TuterlyWritten from the questions they got wrong in homework and school tests, at their level.

How manyFree worksheetOne sheet at a time.TuterlyAs many fresh questions as they need, each one different, never just the numbers swapped.*

Before a testFree worksheetPick a topic and hope it’s the right one.TuterlyA practice test covering every part of the topic. Upload the term planner and it focuses on what’s coming up.

MarkingFree worksheetCheck the answer key yourself.TuterlyMarked as they go, with the exact step that went wrong explained.

ProgressFree worksheetNothing is saved.TuterlyEvery question tracked until it’s mastered, and a weekly review for parents.

For Years 7 to 10: $8.99 a week or $29.99 a month at the launch price (from 1 April 2027, $17.99 a week or $59.99 a month), with a 7-day free trial on the monthly plan only. Better marks in 6 months, or your money back.

Or try it free now on one of their questions →

Coming soon on iPhone. Android soon after.

Free to download · 7-day free trial on monthly · Years 7 to 10 maths · On iPhone. Android coming soon

* Fair use applies with subscriptions.

These topic pages cover this skill, with worked examples, common mistakes and a question to try.

Year 7 worksheetFraction operations Year 7 worksheetFractions and decimals Year 7 worksheetRatios

Questions

How do you add fractions with different denominators?

Rewrite both fractions with the lowest common denominator, add the numerators, keep the denominator, then simplify. For example, one half plus one third is three sixths plus two sixths, which is five sixths.

Do you add the denominators when adding fractions?

No. Only the numerators are added once the denominators match. Adding the denominators is the most common fraction mistake.

How do you add mixed numbers?

Add the whole numbers and the fractions separately. If the fractions add to more than one, carry the extra whole into the whole-number part.

More skill worksheets

Skill worksheetFraction Skill worksheetArea of composite shapes Skill worksheetArea of a triangle Skill worksheetDividing fractions Skill worksheetExpanding brackets Skill worksheetTwo-step equations Skill worksheetAngles on parallel lines Skill worksheetMean, median and mode

Better maths marks start with the next wrong answer.

Tuterly turns every missed maths question into practice tailored towards the student, not just a generic worksheet.