State, whether true or false?
(i) $$2 / 5 = 10 / 15$$
(ii) $$35 / 42 = 5 / 6$$
(iii) $$5 / 4 = 4 / 5$$
(iv) $$7 / 9 =$$ $$1\frac { 1 }{ 7 } $$
(v) $$9 / 7 =$$ $$1\frac { 1 }{ 7 } $$
(i) $$2 / 5 = 10 / 15$$
The given expression can be solved as below
$$2 / 5 = (10 ÷ 5) / (15 ÷ 5) $$
$$2 / 5 ≠ 2 / 3 $$
Hence false
(ii) $$35 / 42 = 5 / 6$$
The given expression can be solved as below
$$35 / 42 = 5 / 6$$
$$(35 ÷ 7) / (42 ÷ 7) = 5 / 6$$
$$5 / 6 = 5 / 6$$
Hence true
(iii) $$5 / 4 = 4 / 5$$
The given expression can be solved as below
$$5 / 4 = 4 / 5$$
$$5 / 4 ≠ 4 / 5$$
Hence false
(iv) $$7 / 9 =1\frac { 1 }{ 7 } $$
The given expression can be solved as below
$$7 / 9 = (7 × 1 + 1) / 7$$
$$7 / 9 ≠ 8 / 7$$
Hence false
(v) $$9 / 7 = 1\frac { 1 }{ 7 } $$
The given expression can be solved as below
$$9 / 7 = (7 × 1 + 1) / 7$$
$$9 / 7 ≠ 8 / 7$$
Hence false