Converting 27.4158 to a Fraction
Step-by-step explanation of how to convert 27.4158 to a fraction

Result

27.4158 =
137079
5000
Mixed number:
27
2079
5000

Step 1: Identify the number of decimal places

The decimal 27.4158 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.4158 × 10000 = 274158

Step 3: Write as a fraction

27.4158 =

274158
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 274158 and 10000.

GCD(274158, 10000) = 2

Divide both the numerator and denominator by the GCD:

274158
10000

=

274158 ÷ 2
10000 ÷ 2

=

137079
5000
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