Converting 27.575 to a Fraction
Step-by-step explanation of how to convert 27.575 to a fraction

Result

27.575 =
1103
40
Mixed number:
27
23
40

Step 1: Identify the number of decimal places

The decimal 27.575 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.575 × 1000 = 27575

Step 3: Write as a fraction

27.575 =

27575
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27575 and 1000.

GCD(27575, 1000) = 25

Divide both the numerator and denominator by the GCD:

27575
1000

=

27575 ÷ 25
1000 ÷ 25

=

1103
40
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