Converting 78.2352 to a Fraction
Step-by-step explanation of how to convert 78.2352 to a fraction
Result
78.2352 =
48897
625
Mixed number:
78
147
625
Step 1: Identify the number of decimal places
The decimal 78.2352 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
78.2352 × 10000 = 782352
Step 3: Write as a fraction
78.2352 =
782352
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 782352 and 10000.
GCD(782352, 10000) = 16
Divide both the numerator and denominator by the GCD:
782352
10000
=
782352 ÷ 16
10000 ÷ 16
=
48897
625
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