Converting 11.524 to a Fraction
Step-by-step explanation of how to convert 11.524 to a fraction
Result
11.524 =
2881
250
Mixed number:
11
131
250
Step 1: Identify the number of decimal places
The decimal 11.524 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.524 × 1000 = 11524
Step 3: Write as a fraction
11.524 =
11524
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11524 and 1000.
GCD(11524, 1000) = 4
Divide both the numerator and denominator by the GCD:
11524
1000
=
11524 ÷ 4
1000 ÷ 4
=
2881
250
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