Question

Question 14.
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

(b)

We have the mixed fraction 5$\frac{4}{7}$.
To convert the mixed fraction say "$\text{Whole}\frac{\text{Numerator}}{\text{Denominator}}$" into improper fraction we use the formula:
Improper fraction = $\left(\frac{\text{Whole number}\times \text{Denominator + Numerator}}{\text{Denominator}}\right)$

On substituting the values we get:
5$\frac{4}{7}$ = $\frac{5\times 7+4}{7}$ = $\frac{39}{7}$