Converting 48.7344 to a Fraction
Step-by-step explanation of how to convert 48.7344 to a fraction

Result

48.7344 =
30459
625
Mixed number:
48
459
625

Step 1: Identify the number of decimal places

The decimal 48.7344 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

48.7344 × 10000 = 487344

Step 3: Write as a fraction

48.7344 =

487344
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 487344 and 10000.

GCD(487344, 10000) = 16

Divide both the numerator and denominator by the GCD:

487344
10000

=

487344 ÷ 16
10000 ÷ 16

=

30459
625
Related Conversions
Other decimal to fraction conversions you might find useful