Converting 6.664 to a Fraction
Step-by-step explanation of how to convert 6.664 to a fraction

Result

6.664 =
833
125
Mixed number:
6
83
125

Step 1: Identify the number of decimal places

The decimal 6.664 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

6.664 × 1000 = 6664

Step 3: Write as a fraction

6.664 =

6664
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6664 and 1000.

GCD(6664, 1000) = 8

Divide both the numerator and denominator by the GCD:

6664
1000

=

6664 ÷ 8
1000 ÷ 8

=

833
125
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