Converting 57.2128 to a Fraction
Step-by-step explanation of how to convert 57.2128 to a fraction

Result

57.2128 =
35758
625
Mixed number:
57
133
625

Step 1: Identify the number of decimal places

The decimal 57.2128 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

57.2128 × 10000 = 572128

Step 3: Write as a fraction

57.2128 =

572128
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 572128 and 10000.

GCD(572128, 10000) = 16

Divide both the numerator and denominator by the GCD:

572128
10000

=

572128 ÷ 16
10000 ÷ 16

=

35758
625
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