Converting 27.7688 to a Fraction
Step-by-step explanation of how to convert 27.7688 to a fraction
Result
27.7688 =
34711
1250
Mixed number:
27
961
1250
Step 1: Identify the number of decimal places
The decimal 27.7688 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.7688 × 10000 = 277688
Step 3: Write as a fraction
27.7688 =
277688
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 277688 and 10000.
GCD(277688, 10000) = 8
Divide both the numerator and denominator by the GCD:
277688
10000
=
277688 ÷ 8
10000 ÷ 8
=
34711
1250
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