Question

Which of the following is/are equivalent to $3\frac{8}{25}$.

• A. 3.32
• B. $\frac{166}{50}$
• C. 33.2

Answer 1

Answer: (A), (B)

$\frac{166}{50}$

Let's convert the mixed fraction into an improper fraction.

$3\frac{8}{25}=\frac{3\times 25+8}{25}=\frac{83}{25}$

We know, $25\times 4=100$

$\therefore$ Multiply the numerator and denominator by $4$ to make the denominator as a power of $10.$

$\frac{83\times 4}{25\times 4}=\frac{332}{100}=3.32$
(by shifting the decimal point leftwards by 2 places)

Also, $\frac{332}{100}=\frac{166}{50}$