Converting 27.375 to a Fraction
Step-by-step explanation of how to convert 27.375 to a fraction

Result

27.375 =
219
8
Mixed number:
27
3
8

Step 1: Identify the number of decimal places

The decimal 27.375 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.375 × 1000 = 27375

Step 3: Write as a fraction

27.375 =

27375
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27375 and 1000.

GCD(27375, 1000) = 125

Divide both the numerator and denominator by the GCD:

27375
1000

=

27375 ÷ 125
1000 ÷ 125

=

219
8
Related Conversions
Other decimal to fraction conversions you might find useful