Converting 5.9648 to a Fraction
Step-by-step explanation of how to convert 5.9648 to a fraction

Result

5.9648 =
3728
625
Mixed number:
5
603
625

Step 1: Identify the number of decimal places

The decimal 5.9648 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.9648 × 10000 = 59648

Step 3: Write as a fraction

5.9648 =

59648
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 59648 and 10000.

GCD(59648, 10000) = 16

Divide both the numerator and denominator by the GCD:

59648
10000

=

59648 ÷ 16
10000 ÷ 16

=

3728
625
Related Conversions
Other decimal to fraction conversions you might find useful