The difference of 1 3/16 and its reciprocal is equal to · ABC26GN0936
Subject: General Aptitude · Chapter: Simplification · Exam: M.A.T. 2002
The difference of $1 \frac{3}{16}$ and its reciprocal is equal to
(a)$1 \frac{1}{8}$
(b)$\frac{4}{3}$
(c)$\frac{15}{16}$
(d)None of these
Answer
Explanation
Required difference $=\frac{19}{16}-\frac{16}{19}=\frac{19^{2}-16^{2}}{304}$ $$=\frac{(19+16)(19-16)}{304}=\frac{35 \times 3}{304}=\frac{105}{304} .$$
Explanation as extracted from the printed page; notation may be imperfect.
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