Converting 27.775 to a Fraction
Step-by-step explanation of how to convert 27.775 to a fraction
Result
27.775 =
1111
40
Mixed number:
27
31
40
Step 1: Identify the number of decimal places
The decimal 27.775 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
27.775 × 1000 = 27775
Step 3: Write as a fraction
27.775 =
27775
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 27775 and 1000.
GCD(27775, 1000) = 25
Divide both the numerator and denominator by the GCD:
27775
1000
=
27775 ÷ 25
1000 ÷ 25
=
1111
40
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