## write the denominator of the rational number 377/4000 in form of 2m5n where m,n are non negative integers. hence write its decimal

Question

write the denominator of the rational number 377/4000 in form of 2m5n where m,n are non negative integers. hence write its decimal expansion without actual division​

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1 month 2021-08-02T03:35:07+00:00 2 Answers 0 views 0

## Answers ( )

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o.o514

Step-by-step explanation:

The fraction 257/5000

Since the denominator is 5000,

The factors for 5000 are:

5000=2×2×2×5×5×5×5

=23×54

257/5000=257/(23×54)

It is a terminating decimal.

So,

Let us multiply both numerator and denominator by 2, we get

257/5000=(257×2)/(5000×2)

=514/10000

=0.0514