Question

find the multiplicative inverse of minus 5 upon 8 into minus 3 upon 7​

Answer 1

Answer:

56/15

Step-by-step explanation:

Here's your answer....

-5/8 × -3/7

-5*-3 / 8*7

15/56

The multiplicative inverse is 56/15

Because multiplicative inverse is a number which makes the whole number 1 after multiplication.

So...56/15 is your answer....

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Answer 2

$3\dfrac{11}{15}$

The multiplicative inverse of $(-\dfrac{5}{8})\times (-\dfrac{3}{7})$ is $3\dfrac{11}{15}$.

Concept:

Two numbers $a$ and $b$ are said to be multiplicative inverse of each other if their product is $1$,

that is $a\times b=1$

Further, $b=\dfrac{1}{a}$

Step-by-step explanation:

Here $(-\dfrac{5}{8})\times (-\dfrac{3}{7})$

= $\dfrac{5}{8}\times\dfrac{3}{7}$

• since $(-)\times (-)=(+)$

= $\dfrac{5\times 3}{8\times 7}$

= $\dfrac{15}{56}$

Thus the required multiplicative inverse is

$1\div\dfrac{15}{56}$

= $1\times\dfrac{56}{15}$

= $\dfrac{1\times 56}{15}$

= $\dfrac{56}{15}$

= $3\dfrac{11}{15}$

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