Question

find the multiplicative inverse of the following
a) 2/8
b) -13
c) -6/-5
d) -13/19​

Answer 1

Step-by-step explanation:

a 8/2

b -1/13

c 5/6

d -19/13

Answer 2

❍ What is "Multiplicative Inverse"?

⇒ It is the reciprocal of the number.

Question :- Find the multiplicative inverse of the following :-

(a) $\frac{2}{8} = \frac{1}{4}$

Multiplicative Inverse,

$→ \frac{2}{8} \times x = 1$

$→x = 1 \times \frac{8}{2}$

$→x = \frac{8}{2} = 4$

Hence multiplicative inverse of $\frac{2}{8}$ is $\frac{8}{2} \: \sf{or} \: 4$.

(b) -13

Multiplicative Inverse,

$→ - 13 \times x = 1$

$→x = \frac{1}{ - 13} \: \sf{or} \: \frac{ - 1}{13}$

Hence multiplicative inverse of - 13 is $\frac{1}{ - 13} \: \sf{or} \: \frac{ - 1}{13}$.

(c) $\frac{ - 6}{ - 5} = \frac{6}{5}$

Multiplicative Inverse,

$→ \frac{6}{5} \times x = 1$

$→x = 1 \times \frac{5}{6}$

$→x = \frac{5}{6}$

Hence multiplicative inverse of $\frac{ - 6}{ - 5}$ is $\frac{5}{6}$.

(d) $\frac{ - 13}{19}$

Multiplicative Inverse,

$→ \frac{ - 13}{19} \times x = 1$

$→x = 1 \times \frac{19}{ - 13}$

$→x = \frac{19}{ - 13} \: \sf{or} \: \frac{ - 19}{13}$

Hence multiplicative inverse of $\frac{ - 13}{19}$ is $\frac{19}{ - 13} \: \sf{or} \: \frac{ - 19}{13}$.