Question

Find [-4/5]×3/7×15/16×[-14/9]​

Answer 1

`(1)/(2)`

Explanation:

[- 4/5] [- 14/9] = 56/45

= 56/45×3/7×15/16

1. Apply the fraction rule : a × c = a × c

b d. b d

`= (56 * 3 * 15)/(45 * 7 * 16)`

2. Factor the number : 56 = 7 ×8

`= (7 * 8 * 3 * 15)/(45 * 7 * 16)`

3. Cancel the common factor : 7

`= (8 * 3 * 15)/(45 * 16)`

3. Factor the number : 16 = 8 × 3

`= (8 * 3 * 15)/(45 * 8 * 2)`

4. Cancel the common factor : 8

`= (3 * 15)/(45 * 2)`

5. Factor the number : 45 = 3 × 15

`= (3 * 15)/(3 * 15 * 2)`

6. Cancel the common factor : 3

`= (15)/(15 * 2)`

7. Cancel the common factor : 15

`= (1)/(2)`

Solution :

`= (1)/(2)`

Answer 2

[-4/5]×3/7×15/16×[-14/9]= 1/2

Explanation:

hope this helps :)