Converting 11.945 to a Fraction
Step-by-step explanation of how to convert 11.945 to a fraction
Result
11.945 =
2389
200
Mixed number:
11
189
200
Step 1: Identify the number of decimal places
The decimal 11.945 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.945 × 1000 = 11945
Step 3: Write as a fraction
11.945 =
11945
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11945 and 1000.
GCD(11945, 1000) = 5
Divide both the numerator and denominator by the GCD:
11945
1000
=
11945 ÷ 5
1000 ÷ 5
=
2389
200
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