Converting 27.958 to a Fraction
Step-by-step explanation of how to convert 27.958 to a fraction

Result

27.958 =
13979
500
Mixed number:
27
479
500

Step 1: Identify the number of decimal places

The decimal 27.958 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.958 × 1000 = 27958

Step 3: Write as a fraction

27.958 =

27958
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27958 and 1000.

GCD(27958, 1000) = 2

Divide both the numerator and denominator by the GCD:

27958
1000

=

27958 ÷ 2
1000 ÷ 2

=

13979
500
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