Converting 0.649 to a Fraction
Step-by-step explanation of how to convert 0.649 to a fraction

Result

0.649 =
649
1000

Step 1: Identify the number of decimal places

The decimal 0.649 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.649 × 1000 = 649

Step 3: Write as a fraction

0.649 =

649
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 649 and 1000.

GCD(649, 1000) = 1

Divide both the numerator and denominator by the GCD:

649
1000

=

649 ÷ 1
1000 ÷ 1

=

649
1000
Related Conversions
Other decimal to fraction conversions you might find useful