Converting 11.542 to a Fraction
Step-by-step explanation of how to convert 11.542 to a fraction

Result

11.542 =
5771
500
Mixed number:
11
271
500

Step 1: Identify the number of decimal places

The decimal 11.542 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.542 × 1000 = 11542

Step 3: Write as a fraction

11.542 =

11542
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11542 and 1000.

GCD(11542, 1000) = 2

Divide both the numerator and denominator by the GCD:

11542
1000

=

11542 ÷ 2
1000 ÷ 2

=

5771
500
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