Question

Write 3.242424... as a mixed number.

Answer 1

Answer:

$3\frac{8}{33}$

Step-by-step explanation:

3.242424.....

This number can be written as 3  + 0.242424....

We convert the decimal part into fraction

Let x= 0.242424......

Multiply both sides by 100

100x = 24.2424....

     x=     0.2424.....

------------------------------------- (subtract  it)

99x = 24

Divide both sides by 99

So x= 24/ 99

simplify the fraction

$\frac{24}{99} =\frac{8}{33}$

3.242424... can be written as 3  + 0.242424....

Replace the fraction for decimal

So final answer is $3\frac{8}{33}$