Converting 10.09744 to a Fraction
Step-by-step explanation of how to convert 10.09744 to a fraction

Result

10.09744 =
63109
6250
Mixed number:
10
609
6250

Step 1: Identify the number of decimal places

The decimal 10.09744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.09744 × 100000 = 1009744

Step 3: Write as a fraction

10.09744 =

1009744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1009744 and 100000.

GCD(1009744, 100000) = 16

Divide both the numerator and denominator by the GCD:

1009744
100000

=

1009744 ÷ 16
100000 ÷ 16

=

63109
6250
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