Question

Find [-4/5]×3/7×15/16×[-14/9]​

Answer 1

Answer:

$\frac{1}{2}$

Step-by-step 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

$= \frac{56 \times 3 \times 15}{45 \times 7 \times 16}$

2. Factor the number : 56 = 7 ×8

$= \frac{7 \times 8 \times 3 \times 15}{45 \times 7 \times 16}$

3. Cancel the common factor : 7

$= \frac{8 \times 3 \times 15}{45 \times 16}$

3. Factor the number : 16 = 8 × 3

$= \frac{8 \times 3 \times 15}{45 \times 8 \times 2}$

4. Cancel the common factor : 8

$= \frac{3 \times 15}{45 \times 2}$

5. Factor the number : 45 = 3 × 15

$= \frac{3 \times 15}{3 \times 15 \times 2}$

6. Cancel the common factor : 3

$= \frac{15}{15 \times 2}$

7. Cancel the common factor : 15

$= \frac{1}{2}$

Solution :

$= \frac{1}{2}$

Answer 2

Answer:

[-4/5]×3/7×15/16×[-14/9]= 1/2

Step-by-step explanation:

hope this helps :)