1. Comparing ratios

2. Step to compare ratios
Step1: Express the given ratios in fractional form
Step2: Multiply each fraction’s numerator by the denominator of the second fraction.

3. Example 1: Compare ratio 1:4 and 3:5 Step1: Express the given ratios in fractional form 1:4 in fractional form is 3:5 in fractional form is Step2: Multiply each fraction’s numerator by the denominator of the second fraction. 1 x 5 3 x 4 5 < 12
Ans: 1:4 < 3:5

4. Example 2: Compare ratio 4:7 and 12:21 Step1: Express the given ratios in fractional form 4:7 in fractional form is 12:21 in fractional form is Step2: Multiply each fraction’s numerator by the denominator of the second fraction. 4 x x 7 84 = 84
Ans: 4:7 = 12:21

5. Example3: Ratio of red marbles to green marbles is 2:3 Ratio of chocolates to biscuits is 2:7 . Find which ratio is greater? Step1: Express the given ratios in fractional form 2:3 in fractional form is 2:7 in fractional form is Step2: Multiply each fraction’s numerator by the denominator of the second fraction. 2 x 7 2 x 3 14 > 6
Ans: 2:3 > 2:7 . Thus ratio of red marbles to green marbles is greater

6. Try these
Which of the two ratio is greater?
Ratio of carrot to onion is 4:7 . Ratio of cost of pencils to pens is 8:14. Find which ratio is greater?