Question

Devi added five-sixths of a bag of soil to her garden, her friend Shreya added eleven-eighths bags of soil to her garden. What fraction of soil did Shreya add more than Devi?

• A. $\frac{24}{33}$
• B. $\frac{20}{24}$
• C. $\frac{13}{24}$
• D. $\frac{15}{24}$

Answer 1

The correct option is C $\frac{13}{24}$

Soil added by Devi = $\frac{5}{6}$
Soil added by Shreya = $\frac{11}{8}$
Difference in the soil added by both = $\frac{11}{8}-\frac{5}{6}$

$\frac{11}{8}-\frac{5}{6}$

LCM of 6 and 8 is 24.

$\Rightarrow \frac{33}{24}-\frac{20}{24}$

$\therefore \frac{33-20}{24}=\frac{13}{24}$

Shreya added $\frac{13}{24}$ more soil than Devi