Converting 27.945 to a Fraction
Step-by-step explanation of how to convert 27.945 to a fraction

Result

27.945 =
5589
200
Mixed number:
27
189
200

Step 1: Identify the number of decimal places

The decimal 27.945 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.945 × 1000 = 27945

Step 3: Write as a fraction

27.945 =

27945
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27945 and 1000.

GCD(27945, 1000) = 5

Divide both the numerator and denominator by the GCD:

27945
1000

=

27945 ÷ 5
1000 ÷ 5

=

5589
200
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