5/6 + 3/4 -7/2 × 5.5 =
Answers
Answer:
=
−
2
(
1
3
)
Explanation:
3
(
1
6
)
=
(
6
⋅
3
)
+
1
6
=
19
6
5.5
=
5.5
⋅
10
10
=
55
11
10
2
=
11
2
L C M of denominator of the numbers 2,6 is 6.
∴
(
19
6
)
−
11
2
=
(
19
6
)
−
(
11
⋅
3
2
⋅
3
)
⇒
(
19
6
)
−
(
33
6
)
=
19
−
33
6
=
−
14
7
6
3
⇒
−
(
7
3
)
=
−
2
(
1
3
)
Step-by-step explanation:
Answer:
The least common multiple between 6 and 8 is 24.
8
⋅
3
is 24 so we must multiply its 5 by 3 which is 15 making the first fraction
15
24
.
6
⋅
4
is 24 so we must multiply its 5 by 4 which is 20 making the second fraction
20
24
.
Now we can add 15 and 20 to get
35
24
which is our final answer.
There's another method that I think is much easier and quicker however it may be a more difficult concept to grasp. I will illustrate it using variables.
If you're adding two fractions,
a
b
+
c
d
, the final fraction will be
a
d
+
b
c
b
d
. If we apply this to the current problem we will get
5
⋅
6
+
5
⋅
8
6
⋅
8
=
30
+
40
48
=
70
48
=
35
24