Converting 21.745 to a Fraction
Step-by-step explanation of how to convert 21.745 to a fraction
Result
21.745 =
4349
200
Mixed number:
21
149
200
Step 1: Identify the number of decimal places
The decimal 21.745 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.745 × 1000 = 21745
Step 3: Write as a fraction
21.745 =
21745
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21745 and 1000.
GCD(21745, 1000) = 5
Divide both the numerator and denominator by the GCD:
21745
1000
=
21745 ÷ 5
1000 ÷ 5
=
4349
200
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