Converting 6.64 to a Fraction
Step-by-step explanation of how to convert 6.64 to a fraction
Result
6.64 =
166
25
Mixed number:
6
16
25
Step 1: Identify the number of decimal places
The decimal 6.64 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
6.64 × 100 = 664
Step 3: Write as a fraction
6.64 =
664
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 664 and 100.
GCD(664, 100) = 4
Divide both the numerator and denominator by the GCD:
664
100
=
664 ÷ 4
100 ÷ 4
=
166
25
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions