Question

Which is the largest ratio? 5/36, 2:9, 3 to 18, 1:3 5/36 2:9 3 to 18 1:3

Answer 1

Answer:  The largest ratio is (d) 1 : 3.

Step-by-step explanation:  We are given to select the larges ratio among the given options.

The first ratio is

$\dfrac{5}{36}.$

The second ratio is

$2:9=\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}.$

The third ratio is

$3\textup{ to }18=\dfrac{3}{18}=\dfrac{3\times 2}{18\times 2}=\dfrac{6}{36}.$

The fourth ratio is

$1:3=\dfrac{1}{3}=\dfrac{1\times 12}{3\times 12}=\dfrac{12}{36}.$

Arranging all the ratios in ascending order, we have

$\dfrac{5}{36},~\dfrac{6}{36},~\dfrac{8}{36},~\dfrac{12}{36}\\\\\\\Rightarrow \dfrac{5}{36},~\dfrac{3}{18},~\dfrac{2}{9},~\dfrac{1}{3}.$

Thus, the largest ratio is (d) 1 : 3.

Answer 2

1:3 is the largest ratio.

You find the ratio by dividing two numbers.