Converting 27.7964 to a Fraction
Step-by-step explanation of how to convert 27.7964 to a fraction

Result

27.7964 =
69491
2500
Mixed number:
27
1991
2500

Step 1: Identify the number of decimal places

The decimal 27.7964 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.7964 × 10000 = 277964

Step 3: Write as a fraction

27.7964 =

277964
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 277964 and 10000.

GCD(277964, 10000) = 4

Divide both the numerator and denominator by the GCD:

277964
10000

=

277964 ÷ 4
10000 ÷ 4

=

69491
2500
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