Converting 58.64 to a Fraction
Step-by-step explanation of how to convert 58.64 to a fraction

Result

58.64 =
1466
25
Mixed number:
58
16
25

Step 1: Identify the number of decimal places

The decimal 58.64 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

58.64 × 100 = 5864

Step 3: Write as a fraction

58.64 =

5864
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5864 and 100.

GCD(5864, 100) = 4

Divide both the numerator and denominator by the GCD:

5864
100

=

5864 ÷ 4
100 ÷ 4

=

1466
25
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