Question

write the type of decimal expansion of 7/160​

Answer 1

Step-by-step explanation:

fraction to decimal calculator to find what's an equivalent decimal for the fractional number 7/160. 0.0438 is a decimal and 4.38/100 or 4.38% is the percentage for 7/160.

Answer 2

The decimal expansion of 7/160​ is 0.04375

Given :

The fraction 7/160​

To find :

The decimal expansion of 7/160

Solution :

The given fraction is 7/160

Convert the denominator in the form of 5ᵃ × 2ᵇ

a, b are positive integers and a and b can be equal

Now,

                                   7/160 = 7/2⁵ × 5

Multiply this by 5⁵ × 2

Then we get,

                             7/2⁵ × 5 = 7 ×  5⁵ × 2/2⁵ × 5 × 5⁵ × 2

                                           = 43750/10⁶

                                           =  0.04375

Therefore the decimal expansion of 7/160​ is 0.04375

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