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Math Dec 28, 2020

Write 0.0625 as a fraction

Expert Solution

0.0625 is 1/16 as a fraction.

0.0625 has four numbers after the decimal point. So, to find its fractional form, we will get the numerator by removing the zeros and the decimal point. Then we divide it by 10,000 (note that the number of zeros after one and numbers after the decimal point are both equal to four).

0.0625 = 625/10000
= 625 ÷ 5 / 10000 ÷ 5 = 125/2000
= 125 ÷ 5 / 2000 ÷ 5 = 25/400
= 25 ÷ 5 / 400 ÷ 5 = 5/80
= 5 ÷ 5 / 80 ÷ 5 = 1/16

1/16 is in the simplest form. So, 0.0625 = 1/16 as a fraction.

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