Converting 27.7816 to a Fraction
Step-by-step explanation of how to convert 27.7816 to a fraction

Result

27.7816 =
34727
1250
Mixed number:
27
977
1250

Step 1: Identify the number of decimal places

The decimal 27.7816 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.7816 × 10000 = 277816

Step 3: Write as a fraction

27.7816 =

277816
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 277816 and 10000.

GCD(277816, 10000) = 8

Divide both the numerator and denominator by the GCD:

277816
10000

=

277816 ÷ 8
10000 ÷ 8

=

34727
1250
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