Comparing ratios

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.

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

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 21 12 x 7 84 = 84 Ans: 4:7 = 12:21

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

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?