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Convert 0.875 into a Reduced Fraction.

Answer – 0.875 as a reduced fraction is 78.

Explanation:

The following are the steps to express 0.875 as a fraction:

Write a fraction using 0.875 as the numerator and 1 as the denominator.

0.8751

Multiply the top and the bottom by 1000. (This is because there are 3 digits after the decimal point. If it had 1 digit, the multiplication would have been by 10 and so on).

Therefore, 0.8751×10001000=8751000

The numerator is now a whole number. Reduce the fraction until the only common divisor between the numerator and denominator is 1.

Dividing 8751000 by 5, we get 175200.

Dividing the result by 5 again, we get 3540.

Dividing it once more by 5, we get 78

The fraction cannot be simplified any further. Thus, 0.875 as a reduced fraction is 78.


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