Question

What ratios are equivalent to 10:16? What Apply

Answer 1

The answer is option 1 and 3.

Explanation:

Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

`10:16 = (10)/(16) = (5 * 2)/(8) = (5)/(8)`

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :

Option 1,

`30 \: to \: 48 = 30:48 = (30)/(48) = (5 * 6)/(8 * 6) = (5)/(8) = 5:8 \: (correct)`

Option 2,

`25:35 = (25)/(35) = (5 * 5)/(7 * 5) = (5)/(7) = 5:7 \: (incorrect)`

Option 3,

`(40)/(64) = (5 * 8)/(8 * 8) = (5)/(8) = 5:8 \: (correct)`

Option 4,

`8:32 = (8)/(32) = (1 * 8)/(4 * 8) = (1)/(4) = 1:4\: (incorrect)`

Option 5,

`5 \: to \: 15 = (5)/(15) = (1 * 5)/(3 * 5) = (1)/(3) = 1:3 \: (incorrect)`