Converting 27.852 to a Fraction
Step-by-step explanation of how to convert 27.852 to a fraction

Result

27.852 =
6963
250
Mixed number:
27
213
250

Step 1: Identify the number of decimal places

The decimal 27.852 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.852 × 1000 = 27852

Step 3: Write as a fraction

27.852 =

27852
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27852 and 1000.

GCD(27852, 1000) = 4

Divide both the numerator and denominator by the GCD:

27852
1000

=

27852 ÷ 4
1000 ÷ 4

=

6963
250
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