Converting 13.974 to a Fraction
Step-by-step explanation of how to convert 13.974 to a fraction

Result

13.974 =
6987
500
Mixed number:
13
487
500

Step 1: Identify the number of decimal places

The decimal 13.974 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.974 × 1000 = 13974

Step 3: Write as a fraction

13.974 =

13974
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13974 and 1000.

GCD(13974, 1000) = 2

Divide both the numerator and denominator by the GCD:

13974
1000

=

13974 ÷ 2
1000 ÷ 2

=

6987
500
Related Conversions
Other decimal to fraction conversions you might find useful