Converting 2.7165 to a Fraction
Step-by-step explanation of how to convert 2.7165 to a fraction

Result

2.7165 =
5433
2000
Mixed number:
2
1433
2000

Step 1: Identify the number of decimal places

The decimal 2.7165 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.7165 × 10000 = 27165

Step 3: Write as a fraction

2.7165 =

27165
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27165 and 10000.

GCD(27165, 10000) = 5

Divide both the numerator and denominator by the GCD:

27165
10000

=

27165 ÷ 5
10000 ÷ 5

=

5433
2000
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