Converting 85.724128 to a Fraction
Step-by-step explanation of how to convert 85.724128 to a fraction
Result
85.724128 =
2678879
31250
Mixed number:
85
22629
31250
Step 1: Identify the number of decimal places
The decimal 85.724128 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
85.724128 × 1000000 = 85724128
Step 3: Write as a fraction
85.724128 =
85724128
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 85724128 and 1000000.
GCD(85724128, 1000000) = 32
Divide both the numerator and denominator by the GCD:
85724128
1000000
=
85724128 ÷ 32
1000000 ÷ 32
=
2678879
31250
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