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 $\frac{39}{7}$

To convert a mixed fraction say
"$\text{Whole number}\frac{\text{Numerator}}{\text{Denominator}}$" into improper fraction, we can use the formula:
Improper fraction = $\left(\frac{\text{(Whole number}\times \text{Denominator) + Numerator}}{\text{Denominator}}\right)$

Here, the mixed fraction is 5$\frac{4}{7}$ where the whole number is 5, the numerator is 4 and the denominator is 7.
On substituting the values in the formula, we get:
Improper fraction = $\frac{(5\times 7)+4}{7}$ = $\frac{39}{7}$
Therefore, $5\frac{4}{7}$ can be expressed as $\frac{39}{7}$ .