Converting 27.78128 to a Fraction
Step-by-step explanation of how to convert 27.78128 to a fraction
Result
27.78128 =
173633
6250
Mixed number:
27
4883
6250
Step 1: Identify the number of decimal places
The decimal 27.78128 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
27.78128 × 100000 = 2778128
Step 3: Write as a fraction
27.78128 =
2778128
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2778128 and 100000.
GCD(2778128, 100000) = 16
Divide both the numerator and denominator by the GCD:
2778128
100000
=
2778128 ÷ 16
100000 ÷ 16
=
173633
6250
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