simplify 8 by -11×33 by -2
Answers
Answer:
The given expression can be simplified as below
5 – (8 / 11 – 3
11
3
) = 5 – (8 / 11 – 36 / 11)
= 5 – (8 – 36) / 11
= 5 – (-28 / 11)
On further calculation, we get
= 5 / 1 + 28 / 11
= 83 / 11
= 7
11
6
Hence,
7
11
6
is the simplified form of the given expression
(ii) 1 / 2 ÷ (7 / 8 – 3 / 5)
The given expression can be simplified as below
1 / 2 ÷ (7 / 8 – 3 / 5) = 1 / 2 ÷ (5 × 7 – 8 × 3) / 40
= 1 / 2 ÷ (35 – 24) / 40
= 1 / 2 ÷ (11 / 40)
= 1 / 2 × 40 / 11
We get
= 20 / 11
= 1
11
9
Hence,
1
11
9
is the simplified form of the given expression
(iii)
2
3
1
÷(5
2
1
+3
4
3
)
The given expression can be simplified as below
2
3
1
÷(5
2
1
+3
4
3
) = 7 / 3 ÷ (11 / 2 + 15 / 4)
= 7 / 3 ÷ (2 × 11 + 1 × 15) / 4
On further calculation, we get
= 7 / 3 ÷ (22 + 15) / 4
= 7 / 3 ÷ (37 / 4)
= 7 / 3 × 4 / 37
= 28 / 111
Hence, 28 / 111 is the simplified form of the given expression
(iv) $$(3\frac { 7 }{ 8 }- (3\frac { 3 }{ 5 })$$ ÷ 1 / 2
The given expression can be simplified as below
$$(3\frac { 7 }{ 8 }- (3\frac { 3 }{ 5 })$$ ÷ 1 / 2 = (31 / 8 – 18 / 5) ÷ 1 / 2
By taking LCM, we get
= [(31 × 5 – 18 × 8) / (8 × 5)] ÷ 1 / 2
= (155 – 144) / 40 ÷ 1 / 2
= (11 / 40) ÷ 1 / 2
By calculating further, we get
= 11 / 40 × 2 / 1
= 11 / 20
Hence, 11 / 20 is the simplified form of the given expression
(v) 4 / 7 ÷ (1 / 3 ×
2
5
4
)
The given expression can be simplified as below
4 / 7 ÷ (1 / 3 ×
) = 4 / 7 ÷ (1 / 3 × 14 / 5)
= 4 / 7 ÷ (14 / 15)
On further calculation, we get
= 4 / 7 × 15 / 4
= 2 / 7 × 15 / 7
= 30 / 49
Hence, 30 / 49 is the simplified form of the given expression
On further calculation, we get.
