Converting 5.4744 to a Fraction
Step-by-step explanation of how to convert 5.4744 to a fraction

Result

5.4744 =
6843
1250
Mixed number:
5
593
1250

Step 1: Identify the number of decimal places

The decimal 5.4744 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.4744 × 10000 = 54744

Step 3: Write as a fraction

5.4744 =

54744
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 54744 and 10000.

GCD(54744, 10000) = 8

Divide both the numerator and denominator by the GCD:

54744
10000

=

54744 ÷ 8
10000 ÷ 8

=

6843
1250
Related Conversions
Other decimal to fraction conversions you might find useful