Converting 3.824375 to a Fraction
Step-by-step explanation of how to convert 3.824375 to a fraction

Result

3.824375 =
6119
1600
Mixed number:
3
1319
1600

Step 1: Identify the number of decimal places

The decimal 3.824375 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.824375 × 1000000 = 3824375

Step 3: Write as a fraction

3.824375 =

3824375
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3824375 and 1000000.

GCD(3824375, 1000000) = 625

Divide both the numerator and denominator by the GCD:

3824375
1000000

=

3824375 ÷ 625
1000000 ÷ 625

=

6119
1600
Related Conversions
Other decimal to fraction conversions you might find useful