Converting 10.09816 to a Fraction
Step-by-step explanation of how to convert 10.09816 to a fraction

Result

10.09816 =
126227
12500
Mixed number:
10
1227
12500

Step 1: Identify the number of decimal places

The decimal 10.09816 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.09816 × 100000 = 1009816

Step 3: Write as a fraction

10.09816 =

1009816
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1009816 and 100000.

GCD(1009816, 100000) = 8

Divide both the numerator and denominator by the GCD:

1009816
100000

=

1009816 ÷ 8
100000 ÷ 8

=

126227
12500
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