Converting 7.78848 to a Fraction
Step-by-step explanation of how to convert 7.78848 to a fraction

Result

7.78848 =
24339
3125
Mixed number:
7
2464
3125

Step 1: Identify the number of decimal places

The decimal 7.78848 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.78848 × 100000 = 778848

Step 3: Write as a fraction

7.78848 =

778848
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 778848 and 100000.

GCD(778848, 100000) = 32

Divide both the numerator and denominator by the GCD:

778848
100000

=

778848 ÷ 32
100000 ÷ 32

=

24339
3125
Related Conversions
Other decimal to fraction conversions you might find useful