Converting 10.4624 to a Fraction
Step-by-step explanation of how to convert 10.4624 to a fraction

Result

10.4624 =
6539
625
Mixed number:
10
289
625

Step 1: Identify the number of decimal places

The decimal 10.4624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.4624 × 10000 = 104624

Step 3: Write as a fraction

10.4624 =

104624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 104624 and 10000.

GCD(104624, 10000) = 16

Divide both the numerator and denominator by the GCD:

104624
10000

=

104624 ÷ 16
10000 ÷ 16

=

6539
625
Related Conversions
Other decimal to fraction conversions you might find useful