Converting 2.7855 to a Fraction
Step-by-step explanation of how to convert 2.7855 to a fraction

Result

2.7855 =
5571
2000
Mixed number:
2
1571
2000

Step 1: Identify the number of decimal places

The decimal 2.7855 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.7855 × 10000 = 27855

Step 3: Write as a fraction

2.7855 =

27855
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27855 and 10000.

GCD(27855, 10000) = 5

Divide both the numerator and denominator by the GCD:

27855
10000

=

27855 ÷ 5
10000 ÷ 5

=

5571
2000
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