Converting 87.196 to a Fraction
Step-by-step explanation of how to convert 87.196 to a fraction
Result
87.196 =
21799
250
Mixed number:
87
49
250
Step 1: Identify the number of decimal places
The decimal 87.196 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
87.196 × 1000 = 87196
Step 3: Write as a fraction
87.196 =
87196
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 87196 and 1000.
GCD(87196, 1000) = 4
Divide both the numerator and denominator by the GCD:
87196
1000
=
87196 ÷ 4
1000 ÷ 4
=
21799
250
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