Question

Check whether the quotient that you get after dividing the reciprocal of the sum of -4/15 +2/5, by the sum is the multiplicative identity.
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Question no. - 4

Answer 1

Heya !!!

Here is Your Answer.

Question : Check whether the quotient that you get after dividing the reciprocal of the sum of -4/15 +2/5, by the sum is the multiplicative identity.

Solution :

$Sum \: of \: \frac{ - 4}{15} + \frac{2}{5} \\ = \frac{ - 4}{15} + \frac{6}{15} = \frac{2}{15}$
And Its Reciprocal = 15/2.

Now, quotient after dividing the reciprocal of the sum of -4/15 +2/5, by the sum
= (Reciprocal of Sum of -4/15 + 2/5) ÷ (-4/15 + 2/5)
$= \frac{15}{2} \div \frac{2}{15} \\ = \frac{15}{2} \times \frac{15}{2} = \frac{225}{4}$

For Being Multiplicative Identity, Product Must be equal to one, But it is not.

So, They are not multiplicative identity.


Hope You Got It

Answer 2

Answer:

See the attachment, answer in it