Question

What ratios are equivalent to 10:16? What Apply

Answer 1

Answer:

The answer is option 1 and 3.

Step-by-step explanation:

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

$10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8}$

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,

$30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)$

Option 2,

$25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)$

Option 3,

$\frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)$

Option 4,

$8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)$

Option 5,

$5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)$