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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