Converting 59.9256 to a Fraction
Step-by-step explanation of how to convert 59.9256 to a fraction

Result

59.9256 =
74907
1250
Mixed number:
59
1157
1250

Step 1: Identify the number of decimal places

The decimal 59.9256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

59.9256 × 10000 = 599256

Step 3: Write as a fraction

59.9256 =

599256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 599256 and 10000.

GCD(599256, 10000) = 8

Divide both the numerator and denominator by the GCD:

599256
10000

=

599256 ÷ 8
10000 ÷ 8

=

74907
1250
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