Question

Find value by shortcut

Answer 1

Hello,
1/5+999 494/495×99;
=1/5 + (999 + 494/495) × 99;
= 1/5 +(494505+494/495) ×99 ;
= 1/5 +(494999/495) ×99 ;
=1/5+494999/5;
=1+494999/5;
=495000/5;
= 99000

bye :-)

Answer 2

Evaluation of fraction by shortcut method without using long multiplications.

$\frac{1}{5}+999\frac{494}{495} \times 99\\\\=\frac{1}{5}+[999 + \frac{494}{495}] \times 99\\\\=\frac{1}{5}+[999+1 - \frac{1}{495}] \times 99\\\\=\frac{1}{5}+1000*99-\frac{99}{495}\\\\=\frac{1}{5}+99,000-\frac{1}{5}\\\\=99,000$

answer is 99, 000