Converting decimals and fractions: Class 6 practice
A decimal with one place is tenths, two places hundredths, three places thousandths. Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Place value of decimals
- Simplifying fractions
The idea behind converting decimals and fractions
A decimal with one place is tenths, two places hundredths, three places thousandths. Write it over 10, 100 or 1000 and simplify. To go from a fraction to a decimal, make the denominator a power of 10 or divide.
Step-by-step method
- Count the decimal places.
- Write over 10, 100 or 1000.
- Simplify using the HCF (or divide for fraction → decimal).
Worked example 1 (Basic)
Write 0.7 as a fraction in lowest terms.
- 0.7 = 7/10
- Simplify: 7/10
- Answer: 7/10
Worked example 2 (Standard)
Write 0.33 as a fraction in lowest terms.
- 0.33 = 33/100
- Simplify: 33/100
- Answer: 33/100
Worked example 3 (Challenge)
Write 4/8 as a decimal.
- Make the denominator a power of 10 (or divide 4 ÷ 8)
- = 0.5
- Answer: 0.5
Common mistakes and misconceptions
- Writing 0.25 as 25/10
- Not simplifying
Practice questions
- (Basic) Write 0.9 as a fraction in lowest terms.
- (Basic) Write 0.1 as a fraction in lowest terms.
- (Standard) Write 0.46 as a fraction in lowest terms.
- (Standard) Write 0.02 as a fraction in lowest terms.
- (Challenge) Write 3/4 as a decimal.
- (Challenge) Write 8/20 as a decimal.
Answer key with full working
- Q1: 0.9 = 9/10 → Simplify: 9/10 → Answer: 9/10
- Q2: 0.1 = 1/10 → Simplify: 1/10 → Answer: 1/10
- Q3: 0.46 = 46/100 → Simplify: 23/50 → Answer: 23/50
- Q4: 0.02 = 2/100 → Simplify: 1/50 → Answer: 1/50
- Q5: Make the denominator a power of 10 (or divide 3 ÷ 4) → = 0.75 → Answer: 0.75
- Q6: Make the denominator a power of 10 (or divide 8 ÷ 20) → = 0.4 → Answer: 0.4
Syllabus note
This skill is listed under "Decimals" for Class 6 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 converting decimals and fractions in?
"Decimals", Class 6 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.