Converting 27.6348 to a Fraction
Step-by-step explanation of how to convert 27.6348 to a fraction

Result

27.6348 =
69087
2500
Mixed number:
27
1587
2500

Step 1: Identify the number of decimal places

The decimal 27.6348 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.6348 × 10000 = 276348

Step 3: Write as a fraction

27.6348 =

276348
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 276348 and 10000.

GCD(276348, 10000) = 4

Divide both the numerator and denominator by the GCD:

276348
10000

=

276348 ÷ 4
10000 ÷ 4

=

69087
2500
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