Question

What fraction of $\frac{4}{7}$ must be added to itself to make the sum $1\frac{1}{14}$ ?

• A. $\frac{1}{2}$
• B. $\frac{4}{7}$
• C. $\frac{7}{8}$
• D. $\frac{15}{14}$

Answer 1

The correct option is C $\frac{7}{8}$

Let the required fraction be x Then
x of $\frac{4}{7}+\frac{4}{7}=1\frac{1}{14}\Rightarrow \frac{4x}{7}+\frac{4}{7}=\frac{15}{14}$
$\Rightarrow \frac{4x}{7}=\frac{15}{14}-\frac{4}{7}=\frac{7}{14}=\frac{1}{2}$
$\Rightarrow x=\frac{1}{2}\times \frac{7}{4}=\frac{7}{8}$