What is 3.242424 as a mixed number

Response:

Detailed explanation:

The final result is 3 /8/33.

step by step breakdown

Initially, we write:

x

=

3

.

¯¯¯¯

24

After that, we will multiply each side by

100

leading to:

100

x

=

324

.

¯¯¯¯

24

Subsequently, we will subtract the first equation from the second equation:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can then solve for

x

in the following manner:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Next, we convert this improper fraction to a mixed numeral:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

=

3

8

33

Response:

3  8/33

Detailed explanation: