Converting 3.7848 to a Fraction
Step-by-step explanation of how to convert 3.7848 to a fraction

Result

3.7848 =
4731
1250
Mixed number:
3
981
1250

Step 1: Identify the number of decimal places

The decimal 3.7848 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.7848 × 10000 = 37848

Step 3: Write as a fraction

3.7848 =

37848
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37848 and 10000.

GCD(37848, 10000) = 8

Divide both the numerator and denominator by the GCD:

37848
10000

=

37848 ÷ 8
10000 ÷ 8

=

4731
1250
Related Conversions
Other decimal to fraction conversions you might find useful