Converting 21.742 to a Fraction
Step-by-step explanation of how to convert 21.742 to a fraction
Result
21.742 =
10871
500
Mixed number:
21
371
500
Step 1: Identify the number of decimal places
The decimal 21.742 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.742 × 1000 = 21742
Step 3: Write as a fraction
21.742 =
21742
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21742 and 1000.
GCD(21742, 1000) = 2
Divide both the numerator and denominator by the GCD:
21742
1000
=
21742 ÷ 2
1000 ÷ 2
=
10871
500
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