Converting 87.6 to a Fraction
Step-by-step explanation of how to convert 87.6 to a fraction

Result

87.6 =
438
5
Mixed number:
87
3
5

Step 1: Identify the number of decimal places

The decimal 87.6 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

87.6 × 10 = 876

Step 3: Write as a fraction

87.6 =

876
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 876 and 10.

GCD(876, 10) = 2

Divide both the numerator and denominator by the GCD:

876
10

=

876 ÷ 2
10 ÷ 2

=

438
5
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