Converting 59.78152 to a Fraction
Step-by-step explanation of how to convert 59.78152 to a fraction
Result
59.78152 =
747269
12500
Mixed number:
59
9769
12500
Step 1: Identify the number of decimal places
The decimal 59.78152 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
59.78152 × 100000 = 5978152
Step 3: Write as a fraction
59.78152 =
5978152
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5978152 and 100000.
GCD(5978152, 100000) = 8
Divide both the numerator and denominator by the GCD:
5978152
100000
=
5978152 ÷ 8
100000 ÷ 8
=
747269
12500
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