Multiplying and dividing fractions: Class 7 practice
To multiply fractions, multiply the numerators and the denominators. Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Equivalent fractions
- Reciprocals
The idea behind multiplying and dividing fractions
To multiply fractions, multiply the numerators and the denominators. To divide by a fraction, multiply by its reciprocal (flip the second fraction). Convert mixed numbers to improper fractions first.
Step-by-step method
- Convert mixed numbers to improper fractions.
- For ÷, flip the second fraction and multiply.
- Cancel common factors, then multiply.
- Simplify and convert back to a mixed number if needed.
Worked example 1 (Basic)
Work out 5/8 × 5/8.
- Multiply tops and bottoms
- = 25/64
- = 25/64
- Answer: 25/64
Worked example 2 (Standard)
Work out 3/8 ÷ 4/2.
- = 3/8 × 2/4
- = 6/32
- = 3/16
- Answer: 3/16
Worked example 3 (Challenge)
Work out 5/9 ÷ 3/5.
- = 5/9 × 5/3
- = 25/27
- = 25/27
- Answer: 25/27
Common mistakes and misconceptions
- Flipping the first fraction
- Multiplying whole and fraction parts separately
Practice questions
- (Basic) Work out 4/4 × 1/2.
- (Basic) Work out 4/8 × 2/8.
- (Standard) Work out 7/3 ÷ 2/6.
- (Standard) Work out 3/6 ÷ 6/2.
- (Challenge) Work out 2/3 ÷ 7/4.
- (Challenge) Work out 1/7 ÷ 4/7.
Answer key with full working
- Q1: Multiply tops and bottoms → = 4/8 → = 1/2 → Answer: 1/2
- Q2: Multiply tops and bottoms → = 8/64 → = 1/8 → Answer: 1/8
- Q3: = 7/3 × 6/2 → = 42/6 → = 7 → Answer: 7
- Q4: = 3/6 × 2/6 → = 6/36 → = 1/6 → Answer: 1/6
- Q5: = 2/3 × 4/7 → = 8/21 → = 8/21 → Answer: 8/21
- Q6: = 1/7 × 7/4 → = 7/28 → = 1/4 → Answer: 1/4
Syllabus note
This skill is listed under "Fractions and Decimals" for Class 7 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.
Related practice and notes
Frequently asked questions
Which chapter is multiplying and dividing fractions in?
"Fractions and Decimals", Class 7 Maths (NCERT/CBSE). Other boards may place it differently.
How were the answers checked?
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.