Converting 57.64 to a Fraction
Step-by-step explanation of how to convert 57.64 to a fraction

Result

57.64 =
1441
25
Mixed number:
57
16
25

Step 1: Identify the number of decimal places

The decimal 57.64 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

57.64 × 100 = 5764

Step 3: Write as a fraction

57.64 =

5764
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5764 and 100.

GCD(5764, 100) = 4

Divide both the numerator and denominator by the GCD:

5764
100

=

5764 ÷ 4
100 ÷ 4

=

1441
25
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