Converting 27.11744 to a Fraction
Step-by-step explanation of how to convert 27.11744 to a fraction

Result

27.11744 =
84742
3125
Mixed number:
27
367
3125

Step 1: Identify the number of decimal places

The decimal 27.11744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

27.11744 × 100000 = 2711744

Step 3: Write as a fraction

27.11744 =

2711744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2711744 and 100000.

GCD(2711744, 100000) = 32

Divide both the numerator and denominator by the GCD:

2711744
100000

=

2711744 ÷ 32
100000 ÷ 32

=

84742
3125
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