Converting 0.096 to a Fraction
Step-by-step explanation of how to convert 0.096 to a fraction

Result

0.096 =
12
125

Step 1: Identify the number of decimal places

The decimal 0.096 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.096 × 1000 = 96

Step 3: Write as a fraction

0.096 =

96
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 96 and 1000.

GCD(96, 1000) = 8

Divide both the numerator and denominator by the GCD:

96
1000

=

96 ÷ 8
1000 ÷ 8

=

12
125
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