Converting 87.82016 to a Fraction
Step-by-step explanation of how to convert 87.82016 to a fraction
Result
87.82016 =
274438
3125
Mixed number:
87
2563
3125
Step 1: Identify the number of decimal places
The decimal 87.82016 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
87.82016 × 100000 = 8782016
Step 3: Write as a fraction
87.82016 =
8782016
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8782016 and 100000.
GCD(8782016, 100000) = 32
Divide both the numerator and denominator by the GCD:
8782016
100000
=
8782016 ÷ 32
100000 ÷ 32
=
274438
3125
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