Question

Multiply the negative of 2/3 by the inverse of 9/7

Answer 1

-2/3 * 7/9
-14/18
or
-7/9

Answer 2

When we multiply the negative of $\frac{2}{3}$ by the inverse of $\frac{9}{7} ,$ we get $-\frac{14}{27} .$

Given,

Fractions:

$\frac{2}{3}$ and $\frac{9}{7} .$

To find,

Multiply the negative of $\frac{2}{3}$ by the inverse of $\frac{9}{7} .$

Solution,

It can be seen that the given fractions here, are

$\frac{2}{3}$ and $\frac{9}{7} .$

Now, to find the negative of any number, we simply need to multiply the number by -1, or we can say, simply use a minus sign (-) as a prefix to the number.

Thus, the negative of $\frac{2}{3}$ will be

$-\frac{2}{3}$

Further, the inverse of a number, say n, is $\frac{1}{n}$.

So, the inverse of $\frac{9}{7}$ will be

$\frac{7}{9}$

So, the required product

$=-\frac{2}{3} \times \frac{7}{9}=-\frac{14}{27} .$

Therefore, when we multiply the negative of $\frac{2}{3}$ by the inverse of $\frac{9}{7} ,$ we get $-\frac{14}{27} .$

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