Converting 22.944 to a Fraction
Step-by-step explanation of how to convert 22.944 to a fraction

Result

22.944 =
2868
125
Mixed number:
22
118
125

Step 1: Identify the number of decimal places

The decimal 22.944 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

22.944 × 1000 = 22944

Step 3: Write as a fraction

22.944 =

22944
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22944 and 1000.

GCD(22944, 1000) = 8

Divide both the numerator and denominator by the GCD:

22944
1000

=

22944 ÷ 8
1000 ÷ 8

=

2868
125
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