What fraction of 4/7 must be added to itself to make the sum 1 1/14 ? · ABC26GN1118
Subject: General Aptitude · Chapter: Simplification
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
Explanation
Let the required fraction be $x$. Then, $$\begin{aligned} \frac{4}{7} x+\frac{4}{7}=\frac{15}{14} & \Leftrightarrow \frac{4}{7} x=\left(\frac{15}{14}-\frac{4}{7}\right)=\frac{7}{14}=\frac{1}{2} \\ & \Leftrightarrow x=\left(\frac{1}{2} \times \frac{7}{4}\right)=\frac{7}{8} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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