Converting 2.078 to a Fraction
Step-by-step explanation of how to convert 2.078 to a fraction
Result
2.078 =
1039
500
Mixed number:
2
39
500
Step 1: Identify the number of decimal places
The decimal 2.078 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.078 × 1000 = 2078
Step 3: Write as a fraction
2.078 =
2078
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2078 and 1000.
GCD(2078, 1000) = 2
Divide both the numerator and denominator by the GCD:
2078
1000
=
2078 ÷ 2
1000 ÷ 2
=
1039
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions