Converting 57.6376 to a Fraction
Step-by-step explanation of how to convert 57.6376 to a fraction

Result

57.6376 =
72047
1250
Mixed number:
57
797
1250

Step 1: Identify the number of decimal places

The decimal 57.6376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

57.6376 × 10000 = 576376

Step 3: Write as a fraction

57.6376 =

576376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 576376 and 10000.

GCD(576376, 10000) = 8

Divide both the numerator and denominator by the GCD:

576376
10000

=

576376 ÷ 8
10000 ÷ 8

=

72047
1250
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