Converting 7.8448 to a Fraction
Step-by-step explanation of how to convert 7.8448 to a fraction

Result

7.8448 =
4903
625
Mixed number:
7
528
625

Step 1: Identify the number of decimal places

The decimal 7.8448 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.8448 × 10000 = 78448

Step 3: Write as a fraction

7.8448 =

78448
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 78448 and 10000.

GCD(78448, 10000) = 16

Divide both the numerator and denominator by the GCD:

78448
10000

=

78448 ÷ 16
10000 ÷ 16

=

4903
625
Related Conversions
Other decimal to fraction conversions you might find useful