Converting 2.6165 to a Fraction
Step-by-step explanation of how to convert 2.6165 to a fraction
Result
2.6165 =
5233
2000
Mixed number:
2
1233
2000
Step 1: Identify the number of decimal places
The decimal 2.6165 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.6165 × 10000 = 26165
Step 3: Write as a fraction
2.6165 =
26165
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 26165 and 10000.
GCD(26165, 10000) = 5
Divide both the numerator and denominator by the GCD:
26165
10000
=
26165 ÷ 5
10000 ÷ 5
=
5233
2000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions