Question

-4/3 * 3/7 * 15/16 * (-14/9)

Answer 1

$\boxed{-\dfrac{4}{3}\times\dfrac{3}{7}\times\dfrac{15}{16}\times (-\dfrac{14}{9})=\dfrac{5}{6}}$

Concept:

Before we solve this problem, we must know the multiplication rule for signs (+, -),

1. (+) × (+) = (+)
2. (+) × (-) = (-)
3. (-) × (+) = (-)
4. (-) × (-) = (+)

Step-by-step explanation:

Now, $-\dfrac{4}{3}\times\dfrac{3}{7}\times\dfrac{15}{16}\times (-\dfrac{14}{9})$

• Hint. Here, (-) × (-) = (+) and we do not need to write it before the obtained value.

= $\dfrac{4}{3}\times\dfrac{3}{7}\times\dfrac{15}{16}\times\dfrac{14}{9}$

= $\dfrac{4\times 3\times 15\times 14}{3\times 7\times 16\times 9}$

= $\dfrac{\cancel{2}\times \cancel{2}\times \cancel{3}\times \cancel{3}\times 5\times \cancel{2}\times \cancel{7}}{\cancel{3}\times \cancel{7}\times \cancel{2}\times \cancel{2}\times \cancel{2}\times 2\times \cancel{3}\times 3}$

= $\dfrac{5}{2\times 3}$

= $\dfrac{5}{6}$

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