Simplify: (1/3+3/4 (2/5-1/3))/(1 2/3 of 3/4-1/4 of 4/5). · ABC26GN0940
Subject: General Aptitude · Chapter: Simplification
Simplify: $\frac{\frac{1}{3}+\frac{3}{4}\left(\frac{2}{5}-\frac{1}{3}\right)}{1 \frac{2}{3} \text { of } \frac{3}{4}-\frac{1}{4} \text { of } \frac{4}{5}}$.
(a)$\frac{1}{63}$
(b)$\frac{23}{40}$
(c)$\frac{23}{55}$
(d)$\frac{23}{63}$
Answer
Explanation
Given exp. $=\frac{\frac{1}{3}+\frac{3}{4}\left(\frac{6-5}{15}\right)}{\frac{5}{3} \text { of } \frac{3}{4}-\frac{1}{5}}=\frac{\frac{1}{3}+\frac{3}{4} \times \frac{1}{15}}{\frac{5}{4}-\frac{1}{5}}$ $$=\frac{\frac{1}{3}+\frac{1}{20}}{\frac{25-4}{20}}=\frac{23}{60} \times \frac{20}{21}=\frac{23}{63} .$$
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Simplification
· Browse this chapter in the app