Fractions and Decimals Class 7 Worksheet — Free PDF Download with Answers

Ask any Class 7 teacher what students struggle with most and they will say fractions and decimals. Not because the topic is beyond them, but because it needs repetition that is hard to get from apps alone. There is a reason every generation of students has practised fractions on paper — the act of writing out numerators and denominators by hand wires the concept into memory in a way that tapping on a screen simply does not.

I still remember my own fractions teacher handing out photocopied sheets every Friday. Half the class groaned. But by the end of the term, everyone in that class could multiply mixed fractions in their sleep. Worksheets work because they are boring in the best possible way. They make you do the same type of question ten times, and by the tenth you have stopped thinking about the method and started thinking about the answer.

Class 7 fractions and decimals include many little rules: invert and multiply for division, line up the decimal points for addition, count decimal places for multiplication. None of these rules sink in from a single example. They need the kind of repeated hand practice that a good worksheet provides.

Worksheets also help with a subtle thing called writing speed. In an exam, you have to solve and also write the solution clearly enough for the examiner to follow. Students who only practise on screens have slower, messier handwriting on paper. Two weeks of worksheet practice fixes this.

Finally, the answer key lets a student mark their own work and reflect. That self reflection is where real learning happens.

This worksheet follows the Class 7 fractions and decimals chapters in all three major boards. Every key sub topic is included.

Sub topics covered:

* Addition and subtraction of fractions with unlike denominators
* Multiplication of fractions and mixed numbers
* Division of fractions
* Conversion between fractions and decimals
* Addition, subtraction, multiplication and division of decimals
* Word problems involving fractions and decimals
* BODMAS with fractions and decimals

Level breakdown:

Total 60 questions. Question types include MCQ, fill in the blanks, true or false, numerical answers and word problems.

Before picking up this worksheet, refresh these ideas.

* Equivalent fractions — Multiplying or dividing both numerator and denominator by the same non zero number gives an equivalent fraction. $\dfrac{2}{3} = \dfrac{4}{6} = \dfrac{6}{9}$.
* Addition of unlike fractions — Find the LCM of denominators, rewrite each fraction, add numerators.
* Multiplication — Multiply numerators together and denominators together. Simplify at the end. $\dfrac{2}{3} \times \dfrac{4}{5} = \dfrac{8}{15}$.
* Division of fractions — Invert the second fraction and multiply. $\dfrac{2}{3} \div \dfrac{4}{5} = \dfrac{2}{3} \times \dfrac{5}{4} = \dfrac{10}{12} = \dfrac{5}{6}$.
* Reciprocal — The reciprocal of $\dfrac{a}{b}$ is $\dfrac{b}{a}$.
* Decimal multiplication — Multiply as whole numbers, then place the decimal point so that the number of decimal places in the product equals the sum of decimal places in the factors.
* Decimal division by 10, 100, 1000 — Move the decimal point left by 1, 2 or 3 places.

Quick tip: when multiplying mixed fractions, convert to improper fractions first. Trying to multiply mixed fractions as they are is a classic route to errors.

Level 1 — Easy

1. Add: $\dfrac{2}{5} + \dfrac{1}{3}$.
Solution: LCM of $5$ and $3$ is $15$. $\dfrac{6}{15} + \dfrac{5}{15} = \dfrac{11}{15}$.

2. Convert $0.75$ to a fraction in lowest terms.
Solution: $\dfrac{75}{100} = \dfrac{3}{4}$.

3. Evaluate: $0.4 \times 10$.
Solution: Move decimal right by one place. Answer is $4$.

Level 2 — Medium

1. Multiply: $2\dfrac{1}{3} \times 1\dfrac{1}{4}$.
Solution: Convert to improper: $\dfrac{7}{3} \times \dfrac{5}{4} = \dfrac{35}{12} = 2\dfrac{11}{12}$.

2. Divide: $\dfrac{5}{8} \div \dfrac{15}{16}$.
Solution: Invert and multiply: $\dfrac{5}{8} \times \dfrac{16}{15} = \dfrac{80}{120} = \dfrac{2}{3}$.

3. A piece of cloth is $6.75$ m long. It is cut into $3$ equal pieces. What is the length of each piece?
Solution: $6.75 \div 3 = 2.25$ m.

Level 3 — Hard

1. Simplify: $\dfrac{3}{4} + \dfrac{2}{3} \times \dfrac{9}{8} - \dfrac{1}{2}$.
Solution: Multiplication first: $\dfrac{2}{3} \times \dfrac{9}{8} = \dfrac{18}{24} = \dfrac{3}{4}$. Now $\dfrac{3}{4} + \dfrac{3}{4} - \dfrac{1}{2} = \dfrac{6}{4} - \dfrac{2}{4} = \dfrac{4}{4} = 1$.

2. A shop sells pencils in packs. Each pack contains $\dfrac{3}{4}$ dozen pencils. How many pencils are in $5$ packs?
Solution: One pack has $\dfrac{3}{4} \times 12 = 9$ pencils. Five packs have $45$ pencils.

3. Arrange in ascending order: $0.6$, $\dfrac{2}{3}$, $0.58$, $\dfrac{5}{8}$.
Solution: Convert all to decimals: $0.6$, $0.666\ldots$, $0.58$, $0.625$. Order: $0.58 < 0.6 < 0.625 < 0.666\ldots$ So $0.58, 0.6, \dfrac{5}{8}, \dfrac{2}{3}$.

1. Print — Use A4 paper and keep your working clean. Fractions need space.
2. Warm up — Do five mental maths questions on simple fractions like $\dfrac{1}{2} + \dfrac{1}{4}$.
3. Time yourself — 15 minutes for Level 1, 25 for Level 2 and 30 for Level 3. Fractions take slightly longer than integers.
4. Check answers — Use the answer key at the back of the PDF.
5. Revise mistakes — Write full steps for every wrong answer. The steps are more important than the numbers.
6. Try again — Redo all wrong questions the next day.

Daily plan: 25 minutes per day for two weeks covers everything comfortably.

Weekly revision: Pick one question from each level and solve it blindfolded — without looking at your old work. If you can do it, you have mastered it.

1. Adding numerators and denominators directly — Writing $\dfrac{1}{2} + \dfrac{1}{3} = \dfrac{2}{5}$ is one of the most common Class 7 errors. You must find a common denominator first.

2. Forgetting to invert before dividing — Dividing fractions without turning the second one upside down gives a wrong answer every time.

3. Decimal point placement in multiplication — Students count decimal places wrong. For $0.4 \times 0.03$, there are three decimal places total, so the answer is $0.012$, not $0.12$.

4. Dropping trailing zeros mid problem — While multiplying $0.30 \times 0.4$, students sometimes drop the trailing zero and lose track. Write it out in full.

5. Not simplifying the final answer — ICSE and CBSE both deduct marks if the answer is not in lowest terms.

6. Mixed number confusion — Trying to add or multiply mixed fractions without converting to improper fractions first leads to errors.

CBSE (NCERT)
Chapter 2 of NCERT Class 7 maths is titled Fractions and Decimals. It carries around 10 to 12 marks in the annual exam. Questions focus on direct operations, simple word problems and conversions.

ICSE (Selina / ML Aggarwal)
ICSE splits the topic into two chapters: Fractions and Decimals. Students see more complex multi step word problems and are expected to show full working. Weightage is around 12 to 15 marks.

IB MYP
The IB approach integrates fractions, decimals and percentages under one umbrella — rational numbers. Students are expected to convert between forms fluently and use them in real world contexts such as measurements, recipes and money.

Get your free Class 7 Fractions and Decimals worksheet:

* Fractions Operations CBSE Worksheet — NCERT aligned, 60 questions
* Fractions and Decimals ICSE Worksheet — Selina aligned, 60 questions

Practise interactively online:

* Fractions Online — CBSE
* Fractions and Decimals Online — ICSE

* AI Maths Solver — Take a picture of any fraction problem and get a step by step solution.
* Spark Coach — Guided practice with hints instead of answers.
* Class 7 Maths Complete Guide — Full chapter wise notes and tips.
* All Worksheets Hub — Every free worksheet we publish.
* Class 7 Formulas — One page cheat sheet.

Week 1: Fraction fundamentals

* Day 1: Revise equivalent fractions and LCM method.
* Day 2: Level 1 addition and subtraction questions.
* Day 3: Level 1 multiplication and division questions.
* Day 4: Level 2 multiplication and division.
* Day 5: Level 2 word problems.
* Day 6: Redo all wrong answers.
* Day 7: Rest or light practice.

Week 2: Decimals and mixed problems

* Day 8: Level 1 and 2 decimal questions.
* Day 9: Level 3 fraction BODMAS.
* Day 10: Level 3 decimal and mixed questions.
* Day 11: Redo all wrong Level 3 answers.
* Day 12: Full mixed quiz — 15 questions across all levels.
* Day 13: Mock chapter test (45 minutes, 30 questions).
* Day 14: Review and reflect.

* Class 7 Integers Worksheet
* Class 7 Rational Numbers Worksheet
* Class 7 Percentage, Profit and Loss Worksheet
* Class 7 Simple Interest Worksheet
* Class 7 Maths Complete Guide