Question

Product of two fractions is $\frac{13}{8}$. If one of them is $\frac{7}{4}$. What is the other?

• A. $\frac{7}{12}$
• B. $\frac{13}{14}$
• C. $\frac{11}{18}$
• D. $\frac{5}{14}$

Answer 1

The correct option is B

$\frac{13}{14}$

Let the first number be$\frac{7}{4}$.

Given product of two fractions $=\frac{13}{8}$

⇒First number $\times$Second number$=\frac{13}{8}$

⇒$\frac{7}{4}$$\times$Second number $=\frac{13}{8}$

⇒Second number $=\frac{13}{8}÷\frac{7}{4}$

⇒Second number $=\frac{13}{8}\times \frac{4}{7}$(Reciprocal of the divisor is taken when multiplication replaces division)

⇒Second number $=\frac{13}{2}\times \frac{1}{7}$

⇒Second number $=\frac{13\times 1}{2\times 7}$

⇒Second number $=\frac{13}{14}$

Thus, option B is the correct answer