Question

Please Help Me To Solve These Sums. I Will Surely Mark As Brainliest.​

Answer 1

Step-by-step explanation:

1) $\frac{5}{-7} * \frac{-9}{2} = \frac{-9}{2} * \frac{5}{-7}$

=> $\frac{(5*-9)}{(-7*2)} = \frac{(-9*5)}{(2*-7)}$

=> $\frac{-45}{-14} = \frac{-45}{-14}$

=> $\frac{45}{14} = \frac{45}{14}$  So they are equal .

This is the commutative property of multiplication .

2) $\frac{-3}{2} * (\frac{1}{7} + \frac{9}{18} ) = (\frac{-3}{2} * \frac{1}{7} )+(\frac{-3}{2} * \frac{9}{18} )$

We can write 9/18 as 1/2 , so :-

=> $\frac{-3}{2} * (\frac{2+7}{14} ) = (\frac{-3}{14}) + (\frac{-3}{4} )$

=> $\frac{-3}{2} * \frac{9}{14} = \frac{(-6) + (-21)}{28}$

=> $\frac{-27}{28} = \frac{-27}{28}$ So they are equal .

This is the distributive property of multiplication over addition .

3) $\frac{5}{8} * \frac{8}{5} = \frac{8}{5} * \frac{5}{8} = 1$

=> $\frac{40}{40} = \frac{40}{40} = 1$

=> 1 = 1 = 1 .

Since 1 is the multiplicative identity , a no. multiplied by its reciprocal will give the value as 1 .

4) $\frac{-5}{6} * (\frac{12}{15} * \frac{9}{15}) = (\frac{-5}{6} * \frac{12}{15} ) * \frac{9}{15}$

We can write $\frac{12}{15} = \frac{4}{5}$ , and $\frac{9}{15} = \frac{3}{5}$

So $\frac{-5}{6} * (\frac{4}{5} * \frac{3}{5}) = (\frac{-5}{6} * \frac{4}{5}) * \frac{3}{5}$

=> $\frac{-5}{6} * \frac{12}{25} = \frac{-20}{30} * \frac{3}{5}$

=> $\frac{-60}{150} = \frac{-60}{150}$ So they are equal .

This is the associative Property of Multiplication .

Hope this helps you .

Please Mark this Brainliest .

Answer 2

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