Converting 11.925 to a Fraction
Step-by-step explanation of how to convert 11.925 to a fraction
Result
11.925 =
477
40
Mixed number:
11
37
40
Step 1: Identify the number of decimal places
The decimal 11.925 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.925 × 1000 = 11925
Step 3: Write as a fraction
11.925 =
11925
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11925 and 1000.
GCD(11925, 1000) = 25
Divide both the numerator and denominator by the GCD:
11925
1000
=
11925 ÷ 25
1000 ÷ 25
=
477
40
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