Question

Which one of the ratio is smaller.
3:4, 5:6, 7:8, 17:15
(a) 3:4
(b) 5:6
(c) 7:8
(d) None of these​

Answer 1

Option (a) 3:4 is the smallest ratio.          

To find :

Smallest ratio from the following : ( 3:4, 5:6, 7:8, 17:15 )

Given :

3:4, 5:6, 7:8, 17:15

To find the smallest ratio divide the terms.

Finding value for 3:4    

                  $\frac{3}{4}$  = 0.75

Finding value for 5:6

                  $\frac{5}{6}$ = 0.83

Finding value for 7:8

                  $\frac{7}{8}$ = 0.875

Finding value for 17:15

                 $\frac{17}{15}$  = 1.13

Thus, the smallest ratio is 3:4.

To learn more...

1. brainly.in/question/5037867

2. brainly.in/question/334614

Answer 2

The smaller ratio is 3:4

• At first we have to take the lcm of the denominators. The denominators are 4,6,8 and 15 respectively.

• The lcm of 4,6,8 and 15 is 120. Now we have to multiply 120 in all four fractions to order them.
• Multiplying by 120 we get 90, 100, 105 and 136 respectively.
• Here the smaller number is 90 which corresponds to the ratio 3:4.
• Hence the smaller ratio amongst the given ratios is 3:4.
• Hence option (a) is correct.