Converting 3.78424 to a Fraction
Step-by-step explanation of how to convert 3.78424 to a fraction

Result

3.78424 =
47303
12500
Mixed number:
3
9803
12500

Step 1: Identify the number of decimal places

The decimal 3.78424 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.78424 × 100000 = 378424

Step 3: Write as a fraction

3.78424 =

378424
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 378424 and 100000.

GCD(378424, 100000) = 8

Divide both the numerator and denominator by the GCD:

378424
100000

=

378424 ÷ 8
100000 ÷ 8

=

47303
12500
Related Conversions
Other decimal to fraction conversions you might find useful