Respuesta :

needsdirehelp

Answer:

[-4/5]×3/7×15/16×[-14/9]= 1/2

Step-by-step explanation:

hope this helps :)

josephtainilai2

Answer:

[tex] \frac{1}{2} [/tex]

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

[tex] = \frac{56 \times 3 \times 15}{45 \times 7 \times 16} [/tex]

2. Factor the number : 56 = 7 ×8

[tex] = \frac{7 \times 8 \times 3 \times 15}{45 \times 7 \times 16} [/tex]

3. Cancel the common factor : 7

[tex] = \frac{8 \times 3 \times 15}{45 \times 16} [/tex]

3. Factor the number : 16 = 8 × 3

[tex] = \frac{8 \times 3 \times 15}{45 \times 8 \times 2} [/tex]

4. Cancel the common factor : 8

[tex] = \frac{3 \times 15}{45 \times 2} [/tex]

5. Factor the number : 45 = 3 × 15

[tex] = \frac{3 \times 15}{3 \times 15 \times 2} [/tex]

6. Cancel the common factor : 3

[tex] = \frac{15}{15 \times 2} [/tex]

7. Cancel the common factor : 15

[tex] = \frac{1}{2} [/tex]

Solution :

[tex] = \frac{1}{2} [/tex]

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