Question

Total number of girls are $\frac{10}{22}$ of total number of a group of children and the number of boys are $\frac{12}{22}$ of total number of the group of children. Numerator of the fraction(lowest form) by which fraction of boys is greater than the fraction of girls in the group is .

Answer 1

Fraction of girls in the group $=\frac{10}{22}$

Fraction of boys in the group $=\frac{12}{22}$

The fraction by which fraction of boys is greater than the fraction of girls:
Fraction of boys - Fraction of girls

$=\frac{12}{22}-\frac{10}{22}=\frac{12-10}{22}=\frac{2}{22}$

$\Rightarrow \frac{2}{22}=\frac{2}{2\times 11}$=$\frac{1}{11}$

Hence, fraction of boys in the group is $\frac{1}{11}$ more than the fraction of girls.