Question

4. Find the multiplicative inverse of the following:
(i) 12
(ii)2/3
(iii)- 4 \7
(iv)
​

Answer 1

1. 1/12
2. 3/2
3. 7/-4

plz mark as brainlist

Answer 2

We know that the multiplicative inverse of rational number 'a' is (\frac{1}{a}

a

1

), such that a \times\frac{1}{a}×

a

1

= 1

Therefore, Multiplicative inverse of -13 is -\frac{1}{13}

13

1

.

(ii): We know that the multiplicative inverse of rational number 'a' is \frac{1}{a}

a

1

such thata\ \times\frac{1}{a}a ×

a

1

= 1

Therefore, Multiplicative inverse of \frac{-13}{19}\ is\ \frac{-19}{13}

19

−13

is

13

−19

.

(iii): We know that the multiplicative inverse of rational number 'a' is \frac{1}{a}

a

1

such that a\times\frac{1}{a}a×

a

1

= 1

Therefore, Multiplicative inverse of \frac{1}{5}\ is\ 5

5

1

is 5

(iv): We know that the multiplicative inverse of rational number 'a' is \frac{1}{a}

a

1

such that a x \frac{1}{a}

a

1

= 1

Therefore,

Multiplicative Inverse of\frac{15}{56\ }\ is\ \frac{56}{15}

56

15

is

15

56

.

(v): We know that the multiplicative inverse of a rational number 'a' is \frac{1}{a}

a

1

such that a x \frac{1}{a}

a

1

= 1

Therefore, Multiplicative inverse of \frac{2}{5}\ is\ \frac{5}{2}

5

2

is

2

5

.

(vi): We know that Multiplicative inverse of 'a' is \frac{1}{a}

a

1

, such that a x \frac{1}{a}

a

1

= 1

Therefore, Multiplication inverse of -1 is \frac{1}{-1}

−1

1