Converting 27.7708 to a Fraction
Step-by-step explanation of how to convert 27.7708 to a fraction

Result

27.7708 =
69427
2500
Mixed number:
27
1927
2500

Step 1: Identify the number of decimal places

The decimal 27.7708 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.7708 × 10000 = 277708

Step 3: Write as a fraction

27.7708 =

277708
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 277708 and 10000.

GCD(277708, 10000) = 4

Divide both the numerator and denominator by the GCD:

277708
10000

=

277708 ÷ 4
10000 ÷ 4

=

69427
2500
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