Converting 27.78964 to a Fraction
Step-by-step explanation of how to convert 27.78964 to a fraction
Result
27.78964 =
694741
25000
Mixed number:
27
19741
25000
Step 1: Identify the number of decimal places
The decimal 27.78964 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
27.78964 × 100000 = 2778964
Step 3: Write as a fraction
27.78964 =
2778964
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2778964 and 100000.
GCD(2778964, 100000) = 4
Divide both the numerator and denominator by the GCD:
2778964
100000
=
2778964 ÷ 4
100000 ÷ 4
=
694741
25000
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