Practice30Create account

Sunita is checking four pairs of ratios. In which pair do BOTH ratios reduce to the same lowest terms?

Class 6Ratio and ProportionRatio and Proportion
  • A10 : 12 and 15 : 20
  • B21 : 28 and 15 : 20
  • C8 : 18 and 12 : 30
  • D9 : 15 and 12 : 16

Step-by-Step Solution

21 : 28 = 3 : 4 and 15 : 20 = 3 : 4, so this pair matches. The others do not: 10 : 12 = 5 : 6 against 3 : 4; 8 : 18 = 4 : 9 against 12 : 30 = 2 : 5; 9 : 15 = 3 : 5 against 12 : 16 = 3 : 4. Reduce BOTH ratios before deciding — matching one of them is not enough.
Answer: B) 21 : 28 and 15 : 20

Key idea: Equivalent ratios and simplest form

Just like equivalent fractions: multiply or divide both parts of a ratio by the same non-zero number to get an equivalent ratio. 2 : 3 = 4 : 6 = 6 : 9 = 20 : 30. The **simplest form** is when the two parts share no common factor other than 1. So 20 : 30 simplifies (divide both by 10) to 2 : 3.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Ratio and Proportion practice questions

More Class 6 Ratio and Proportion practice

A fish tank holds 15 goldfish and 25 guppies. Which statement is correct?A packet holds 36 biscuits, of which 27 are plain and the rest are cream-filled. What is…A hockey team played 30 matches and won 18 of them, losing the rest. The ratio of…A prize of ₹1600 is shared between Farah and Gita in the ratio 5 : 3. How much MORE than…72 saplings are planted along a road, neem and peepal in the ratio 4 : 5. How many…