Converting 59.1344 to a Fraction
Step-by-step explanation of how to convert 59.1344 to a fraction

Result

59.1344 =
36959
625
Mixed number:
59
84
625

Step 1: Identify the number of decimal places

The decimal 59.1344 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

59.1344 × 10000 = 591344

Step 3: Write as a fraction

59.1344 =

591344
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 591344 and 10000.

GCD(591344, 10000) = 16

Divide both the numerator and denominator by the GCD:

591344
10000

=

591344 ÷ 16
10000 ÷ 16

=

36959
625
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