Converting 0.4649 to a Fraction
Step-by-step explanation of how to convert 0.4649 to a fraction

Result

0.4649 =
4649
10000

Step 1: Identify the number of decimal places

The decimal 0.4649 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.4649 × 10000 = 4649

Step 3: Write as a fraction

0.4649 =

4649
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4649 and 10000.

GCD(4649, 10000) = 1

Divide both the numerator and denominator by the GCD:

4649
10000

=

4649 ÷ 1
10000 ÷ 1

=

4649
10000
Related Conversions
Other decimal to fraction conversions you might find useful