Converting 48.096 to a Fraction
Step-by-step explanation of how to convert 48.096 to a fraction
Result
48.096 =
6012
125
Mixed number:
48
12
125
Step 1: Identify the number of decimal places
The decimal 48.096 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
48.096 × 1000 = 48096
Step 3: Write as a fraction
48.096 =
48096
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 48096 and 1000.
GCD(48096, 1000) = 8
Divide both the numerator and denominator by the GCD:
48096
1000
=
48096 ÷ 8
1000 ÷ 8
=
6012
125
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