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\( \Large \frac{\frac{1}{5}+999 \times \frac{494}{495} \times 99}{4} \)

A) 25000
B) 24225
C) 24800
D) 24750

Correct Answer:




D) 24750

Description for Correct answer:
Given expression

=\( \Large \frac{\frac{1}{5}+999 \times \frac{494}{495} \times 99}{4} = ? \)

=\( \Large \frac{\frac{1}{5}+ \left(999+\frac{494}{495}\right) \times 99}{4} \)

\( \Large \frac{\frac{1}{5}+999 \times 99+\frac{494}{495} \times 99}{4} \)

=\( \Large \frac{\frac{1}{5}+ \left(1000-1\right) \times 99+\frac{494}{495} }{4} \)

\( \Large \frac{\frac{1}{5}+ \left(1000-1\right) \times 99+\frac{494}{495} }{4} \)

=\( \Large \frac{\frac{495}{5}+ \left(99000-99\right) }{4} \)

=\( \Large \frac{99+99000-99}{4} = \frac{99000}{4} \)

= 24750

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

Comments

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