Converting 2.986 to a Fraction
Step-by-step explanation of how to convert 2.986 to a fraction

Result

2.986 =
1493
500
Mixed number:
2
493
500

Step 1: Identify the number of decimal places

The decimal 2.986 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.986 × 1000 = 2986

Step 3: Write as a fraction

2.986 =

2986
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2986 and 1000.

GCD(2986, 1000) = 2

Divide both the numerator and denominator by the GCD:

2986
1000

=

2986 ÷ 2
1000 ÷ 2

=

1493
500
Related Conversions
Other decimal to fraction conversions you might find useful