Question

Each packet of wheat weighs $\frac{125}{5}oz$ and each packet of rice weighs $\frac{150}{3}oz$. What is the total weight of 1 packet of wheat and 1 packet of rice?

• A. $\frac{1125}{15}oz$
• B. $\frac{15}{525}oz$
• C. $\frac{1125}{10}oz$
• D. $\frac{525}{15}oz$

Answer 1

The correct option is A $\frac{1125}{15}oz$

Weight of 1 packet of rice = $\frac{125}{5}oz$
Weight of 1 packet of wheat = $\frac{150}{3}oz$

Total weight of 1 packet of rice and 1 packet of wheat = $\frac{125}{5}+\frac{150}{3}oz$

As these are unlike fractions, we need to convert the fractions into like fractions.

Multiply $\frac{125}{5}$ with 3 to convert the denominator into 15, we get:

$\frac{125}{5}$ = $\frac{125\times 3}{5\times 3}$ = $\frac{375}{15}$

Multiply $\frac{150}{3}$ with 5 to convert the denominator into 15, we get:

$\frac{150}{3}$ = $\frac{150\times 5}{3\times 5}$ = $\frac{750}{15}$


Now add these two fractions,
$\therefore$ $\frac{125}{5}+\frac{150}{3}=\frac{375}{15}+\frac{750}{15}=\frac{375+750}{15}=\frac{1125}{15}$

Hence, $\frac{125}{5}+\frac{150}{3}$ = $\frac{1125}{15}$