Converting 4.3744 to a Fraction
Step-by-step explanation of how to convert 4.3744 to a fraction

Result

4.3744 =
2734
625
Mixed number:
4
234
625

Step 1: Identify the number of decimal places

The decimal 4.3744 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.3744 × 10000 = 43744

Step 3: Write as a fraction

4.3744 =

43744
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 43744 and 10000.

GCD(43744, 10000) = 16

Divide both the numerator and denominator by the GCD:

43744
10000

=

43744 ÷ 16
10000 ÷ 16

=

2734
625
Related Conversions
Other decimal to fraction conversions you might find useful