Converting 27.625 to a Fraction
Step-by-step explanation of how to convert 27.625 to a fraction

Result

27.625 =
221
8
Mixed number:
27
5
8

Step 1: Identify the number of decimal places

The decimal 27.625 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.625 × 1000 = 27625

Step 3: Write as a fraction

27.625 =

27625
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27625 and 1000.

GCD(27625, 1000) = 125

Divide both the numerator and denominator by the GCD:

27625
1000

=

27625 ÷ 125
1000 ÷ 125

=

221
8
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