Converting 0.664 to a Fraction
Step-by-step explanation of how to convert 0.664 to a fraction

Result

0.664 =
83
125

Step 1: Identify the number of decimal places

The decimal 0.664 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.664 × 1000 = 664

Step 3: Write as a fraction

0.664 =

664
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 664 and 1000.

GCD(664, 1000) = 8

Divide both the numerator and denominator by the GCD:

664
1000

=

664 ÷ 8
1000 ÷ 8

=

83
125
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