compare and arrange the following ratios in ascending order.
a) 3:2, 5:3, 6:5, 4:3, 5:4
b) 3:4,4:7, 7:9,3:7
plz give step by step solution plz.......
Answers
Answer:
a = 6/5 (72/60), 5/4 (75/60), 3/2 (90/60), 5/3 (100/60)
b = 3/7 (108/252), 4/7 (144/252), 3/4 (189/252), 7/9 (196/252)
Step-by-step explanation:
a ) FIRST FIND THE LCM OF THE DENOMINATOR
= 2 , 3 , 5 , 3 , 4 = 60
THEN DIVIDE THE DENOMINATOR WITH 60
60 ÷ 2 = 30
60 ÷ 3 = 20
60 ÷ 5 = 12
60 ÷ 3 = 20
60 ÷ 4 = 15
THEN MULTIPLY THE DIVISOR WITH DENOMINATOR AND NUMERATOR BOTH
3/2 × 30 = 90/60
5/3 × 20 = 100/60
6/5 × 12 = 72/60
5/4 × 15 = 75/60
NOW ARRANGE IT =
6/5 (72/60), 5/4 (75/60), 3/2 (90/60), 5/3 (100/60)
b ) FIRST FIND THE LCM OF THE DENOMINATOR
= 4 , 7 , 9 , 7 = 252
THEN DIVIDE THE DENOMINATOR WITH 60
252 ÷ 4 = 63
252 ÷ 7 = 36
252 ÷ 9 = 28
252 ÷ 7 = 36
THEN MULTIPLY THE DIVISOR WITH DENOMINATOR AND NUMERATOR BOTH
3/4 × 63 = 189/252
4/7 × 36 = 144/252
7/9 × 28 = 196/252
3/7 × 36 = 108/252
NOW ARRANGE IT =
3/7 (108/252), 4/7 (144/252), 3/4 (189/252), 7/9 (196/252)
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