Converting 14.742 to a Fraction
Step-by-step explanation of how to convert 14.742 to a fraction

Result

14.742 =
7371
500
Mixed number:
14
371
500

Step 1: Identify the number of decimal places

The decimal 14.742 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

14.742 × 1000 = 14742

Step 3: Write as a fraction

14.742 =

14742
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14742 and 1000.

GCD(14742, 1000) = 2

Divide both the numerator and denominator by the GCD:

14742
1000

=

14742 ÷ 2
1000 ÷ 2

=

7371
500
Related Conversions
Other decimal to fraction conversions you might find useful