3 years ago

Write 3.242424... as a mixed number.

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

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 $3\frac{8}{33}$

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