Question

Sort the ratios in increasing order.

• A. 157:297
• B. 146:297
• C. 17:33
• D. 13:27

Answer 1

Given : 13 :27 $\Rightarrow \frac{13}{27}$

17 :33 $\Rightarrow \frac{17}{33}$

146: 297 $\Rightarrow \frac{146}{297}$

157 : 297 $\Rightarrow \frac{157}{297}$

LCM of denominators 27 , 33 and 297 = 297

$\frac{13}{27}=\frac{13\times 11}{27\times 11}=\frac{143}{297}$

Multiply and divide $\frac{17}{33}$ by 9 we get :

$\frac{17}{33}=\frac{17\times 9}{33\times 9}=\frac{153}{297}$

Hence, the required ratio is $\frac{143}{297}$ ,$\frac{153}{297}$, $\frac{146}{297}$ , $\frac{157}{297}$

Numerator 143 < 146 < 153 < 157

Hence, the ratios in ascending order is :
$\frac{13}{27},\frac{17}{33},\frac{146}{297},\frac{157}{297}$