Converting 59.664 to a Fraction
Step-by-step explanation of how to convert 59.664 to a fraction

Result

59.664 =
7458
125
Mixed number:
59
83
125

Step 1: Identify the number of decimal places

The decimal 59.664 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

59.664 × 1000 = 59664

Step 3: Write as a fraction

59.664 =

59664
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 59664 and 1000.

GCD(59664, 1000) = 8

Divide both the numerator and denominator by the GCD:

59664
1000

=

59664 ÷ 8
1000 ÷ 8

=

7458
125
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