Converting 10.0896 to a Fraction
Step-by-step explanation of how to convert 10.0896 to a fraction

Result

10.0896 =
6306
625
Mixed number:
10
56
625

Step 1: Identify the number of decimal places

The decimal 10.0896 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.0896 × 10000 = 100896

Step 3: Write as a fraction

10.0896 =

100896
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 100896 and 10000.

GCD(100896, 10000) = 16

Divide both the numerator and denominator by the GCD:

100896
10000

=

100896 ÷ 16
10000 ÷ 16

=

6306
625
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