Converting 23.142 to a Fraction
Step-by-step explanation of how to convert 23.142 to a fraction
Result
23.142 =
11571
500
Mixed number:
23
71
500
Step 1: Identify the number of decimal places
The decimal 23.142 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
23.142 × 1000 = 23142
Step 3: Write as a fraction
23.142 =
23142
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 23142 and 1000.
GCD(23142, 1000) = 2
Divide both the numerator and denominator by the GCD:
23142
1000
=
23142 ÷ 2
1000 ÷ 2
=
11571
500
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