Question

Choose the correct value of x for the below expression.
$2\frac{3}{5}+7\frac{1}{3}=\frac{x}{15}$

• A. 149
• B. 150
• C. 151
• D. 152

Answer 1

The correct option is A 149

As these are mixed fractions, we need to convert the fractions into improper fractions.

$2\frac{3}{5}=\frac{2\times 5+3}{5}=\frac{13}{5}$

$7\frac{1}{3}=\frac{7\times 3+1}{3}=\frac{22}{3}$

Convert the fractions into like fractions.

Multiply $\frac{22}{3}$ with 5 (the denominator of the second fraction) to convert the denominator into 15, we get:

$\frac{22}{3}$ = $\frac{22\times 5}{3\times 5}$ = $\frac{110}{15}$

Multiply $\frac{13}{5}$ with 3 (the denominator of the first fraction) to convert the denominator into 15, we get:

$\frac{13}{5}$ = $\frac{13\times 3}{5\times 3}$ = $\frac{39}{15}$


Now add these two fractions,
$\therefore$ $\frac{13}{5}+\frac{22}{3}=\frac{39}{15}+\frac{110}{15}=\frac{39+110}{15}=\frac{149}{15}$

Hence, $2\frac{3}{5}+7\frac{1}{3}=\frac{149}{15}=\frac{x}{15}$

The value of x is 149.