Converting 27.6875 to a Fraction
Step-by-step explanation of how to convert 27.6875 to a fraction
Result
27.6875 =
443
16
Mixed number:
27
11
16
Step 1: Identify the number of decimal places
The decimal 27.6875 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.6875 × 10000 = 276875
Step 3: Write as a fraction
27.6875 =
276875
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 276875 and 10000.
GCD(276875, 10000) = 625
Divide both the numerator and denominator by the GCD:
276875
10000
=
276875 ÷ 625
10000 ÷ 625
=
443
16
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