Converting 12.275 to a Fraction
Step-by-step explanation of how to convert 12.275 to a fraction
Result
12.275 =
491
40
Mixed number:
12
11
40
Step 1: Identify the number of decimal places
The decimal 12.275 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
12.275 × 1000 = 12275
Step 3: Write as a fraction
12.275 =
12275
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 12275 and 1000.
GCD(12275, 1000) = 25
Divide both the numerator and denominator by the GCD:
12275
1000
=
12275 ÷ 25
1000 ÷ 25
=
491
40
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