Converting 27.975 to a Fraction
Step-by-step explanation of how to convert 27.975 to a fraction
Result
27.975 =
1119
40
Mixed number:
27
39
40
Step 1: Identify the number of decimal places
The decimal 27.975 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
27.975 × 1000 = 27975
Step 3: Write as a fraction
27.975 =
27975
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 27975 and 1000.
GCD(27975, 1000) = 25
Divide both the numerator and denominator by the GCD:
27975
1000
=
27975 ÷ 25
1000 ÷ 25
=
1119
40
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