Converting 27.585 to a Fraction
Step-by-step explanation of how to convert 27.585 to a fraction

Result

27.585 =
5517
200
Mixed number:
27
117
200

Step 1: Identify the number of decimal places

The decimal 27.585 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.585 × 1000 = 27585

Step 3: Write as a fraction

27.585 =

27585
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27585 and 1000.

GCD(27585, 1000) = 5

Divide both the numerator and denominator by the GCD:

27585
1000

=

27585 ÷ 5
1000 ÷ 5

=

5517
200
Related Conversions
Other decimal to fraction conversions you might find useful