Converting 78.5256 to a Fraction
Step-by-step explanation of how to convert 78.5256 to a fraction
Result
78.5256 =
98157
1250
Mixed number:
78
657
1250
Step 1: Identify the number of decimal places
The decimal 78.5256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.5256 × 10000 = 785256
Step 3: Write as a fraction
78.5256 =
785256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 785256 and 10000.
GCD(785256, 10000) = 8
Divide both the numerator and denominator by the GCD:
785256
10000
=
785256 ÷ 8
10000 ÷ 8
=
98157
1250
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