Converting 46.7912 to a Fraction
Step-by-step explanation of how to convert 46.7912 to a fraction

Result

46.7912 =
58489
1250
Mixed number:
46
989
1250

Step 1: Identify the number of decimal places

The decimal 46.7912 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.7912 × 10000 = 467912

Step 3: Write as a fraction

46.7912 =

467912
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 467912 and 10000.

GCD(467912, 10000) = 8

Divide both the numerator and denominator by the GCD:

467912
10000

=

467912 ÷ 8
10000 ÷ 8

=

58489
1250
Related Conversions
Other decimal to fraction conversions you might find useful