Converting 21.724 to a Fraction
Step-by-step explanation of how to convert 21.724 to a fraction
Result
21.724 =
5431
250
Mixed number:
21
181
250
Step 1: Identify the number of decimal places
The decimal 21.724 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.724 × 1000 = 21724
Step 3: Write as a fraction
21.724 =
21724
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21724 and 1000.
GCD(21724, 1000) = 4
Divide both the numerator and denominator by the GCD:
21724
1000
=
21724 ÷ 4
1000 ÷ 4
=
5431
250
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