Choose the mixed numeral that is equivalent to this decimal 3.242424...
1 answer:
Answer:
First, we can write:
x
=
3
.
¯¯¯¯
24
Next, we can multiply each side by
100
giving:
100
x
=
324
.
¯¯¯¯
24
Then we can subtract each side of the first equation from each side of the second equation giving:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can now solve for
x
as follows:
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
Now, we can convert this improper fraction to a mixed number:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
24
=
3
8
33
You might be interested in
Answer:
Step-by-step explanation:
Given
There are 28 students in a class out of which
13 are boys so the remaining 15 are girls
Ratio of girls to boys in the class
Answer:
no problem sure!
Step-by-step explanation:
;D
Tony has 24 books in total because if 1/8 of the books are mystery and there are 8 mystery books you have to multiple the denominator by the amount of mystery books (8*3=24).
Answer:
21
Step-by-step explanation:
12/4.+18
The lcm is 4.
12+4(18) all divided by 4
12+72=84
84/4=21
