Question

The mixed fraction $5\frac{4}{7}$ can be expressed as:

• A. $\frac{33}{7}$
• B. $\frac{39}{7}$
• C. $\frac{33}{4}$
• D. $\frac{39}{4}$

Answer 1

The correct option is B

$\frac{39}{7}$

Explanation for correct option:

Option $B$: $\frac{39}{7}$

To convert the mixed fraction into an improper fraction, we have to multiply the denominator by the whole number given and then add it to the numerator of the fractional part.

The answer thus obtained is then divided by the denominator of the fractional part.

$5\frac{4}{7}$$=\frac{7\times 5+4}{7}$

$=\frac{35+4}{7}$

$=\frac{39}{7}$.

Therefore, the mixed fraction $5\frac{4}{7}$ can be expressed as $\frac{39}{7}$.

Hence, the correct option is option $B$.