Question

which of the two ratios is largest
1. 4:5 or 8:15
2. 3:4 or 7:8
3. 1:2 or 2:1​

Answer 1

1) 4/5 or 8/15 (LCM of 5 and 15 = 15)

= 4/5 * 15 = 60/75

= 8/15 * 5 = 40/75

therefore, 60/75 > 40/75

= 4:5 > 8:15

2) 3/4 or 7/8 (LCM of 4 and 8 = 8)

= 3/4 * 8 = 24/32

= 7/8 * 4 = 28/32

therefore, 24/32 < 28/32

= 3:4 < 7:8

3) 1/2 or 2/1 (LCM of 1 and 2 = 2)

= 1/2 * 1 = 1/2

= 2/1 * 2 = 4/2

therefore, 1/2 > 4/2

= 1:2 < 2:1