Converting 46.904 to a Fraction
Step-by-step explanation of how to convert 46.904 to a fraction

Result

46.904 =
5863
125
Mixed number:
46
113
125

Step 1: Identify the number of decimal places

The decimal 46.904 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

46.904 × 1000 = 46904

Step 3: Write as a fraction

46.904 =

46904
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46904 and 1000.

GCD(46904, 1000) = 8

Divide both the numerator and denominator by the GCD:

46904
1000

=

46904 ÷ 8
1000 ÷ 8

=

5863
125
Related Conversions
Other decimal to fraction conversions you might find useful