Converting 22.745 to a Fraction
Step-by-step explanation of how to convert 22.745 to a fraction

Result

22.745 =
4549
200
Mixed number:
22
149
200

Step 1: Identify the number of decimal places

The decimal 22.745 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

22.745 × 1000 = 22745

Step 3: Write as a fraction

22.745 =

22745
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22745 and 1000.

GCD(22745, 1000) = 5

Divide both the numerator and denominator by the GCD:

22745
1000

=

22745 ÷ 5
1000 ÷ 5

=

4549
200
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