Converting 10.096 to a Fraction
Step-by-step explanation of how to convert 10.096 to a fraction

Result

10.096 =
1262
125
Mixed number:
10
12
125

Step 1: Identify the number of decimal places

The decimal 10.096 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.096 × 1000 = 10096

Step 3: Write as a fraction

10.096 =

10096
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10096 and 1000.

GCD(10096, 1000) = 8

Divide both the numerator and denominator by the GCD:

10096
1000

=

10096 ÷ 8
1000 ÷ 8

=

1262
125
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