Converting 10.9424 to a Fraction
Step-by-step explanation of how to convert 10.9424 to a fraction

Result

10.9424 =
6839
625
Mixed number:
10
589
625

Step 1: Identify the number of decimal places

The decimal 10.9424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9424 × 10000 = 109424

Step 3: Write as a fraction

10.9424 =

109424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109424 and 10000.

GCD(109424, 10000) = 16

Divide both the numerator and denominator by the GCD:

109424
10000

=

109424 ÷ 16
10000 ÷ 16

=

6839
625
Related Conversions
Other decimal to fraction conversions you might find useful