Question

Whole number ratio form of $12\frac{3}{4}:11\frac{1}{2}:17\frac{1}{6}$ is :-

• A. 153 : 132 : 206
• B. 158 : 138 : 206
• C. 153 : 138 : 206
• D. 154 : 128: 203

Answer 1

The correct option is C

153 : 138 : 206

$12\frac{3}{4}=\frac{51}{4}$

$11\frac{1}{2}=\frac{23}{2}$

$17\frac{1}{6}=\frac{103}{6}$

So,. $12\frac{3}{4}:11\frac{1}{2}:17\frac{1}{6}=\frac{51}{4}:\frac{23}{2}:\frac{103}{6}$

LCM of denominators of 4,2 and 6 is 12

Multiply the each term of the ratio by LCM . we get...

$\frac{51}{4}\times 12:\frac{23}{2}\times 12:\frac{103}{6}\times 12$

= 153 : 138 : 206