Converting 15.466 to a Fraction
Step-by-step explanation of how to convert 15.466 to a fraction

Result

15.466 =
7733
500
Mixed number:
15
233
500

Step 1: Identify the number of decimal places

The decimal 15.466 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.466 × 1000 = 15466

Step 3: Write as a fraction

15.466 =

15466
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15466 and 1000.

GCD(15466, 1000) = 2

Divide both the numerator and denominator by the GCD:

15466
1000

=

15466 ÷ 2
1000 ÷ 2

=

7733
500
Related Conversions
Other decimal to fraction conversions you might find useful