Converting 3.9744 to a Fraction
Step-by-step explanation of how to convert 3.9744 to a fraction

Result

3.9744 =
2484
625
Mixed number:
3
609
625

Step 1: Identify the number of decimal places

The decimal 3.9744 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.9744 × 10000 = 39744

Step 3: Write as a fraction

3.9744 =

39744
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39744 and 10000.

GCD(39744, 10000) = 16

Divide both the numerator and denominator by the GCD:

39744
10000

=

39744 ÷ 16
10000 ÷ 16

=

2484
625
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