Question

Find the multiplicative inverse of the following:
a) $\frac{-5}{8}\times \frac{-3}{7}$ b) $\frac{1}{5}$ c) $3\frac{1}{3}$
[3 marks]

Answer 1

We know that multiplicative inverse of a rational number a is $\left(\frac{1}{a}\right),suchthata\times \frac{1}{a}=1$.

a) Multiplicative inverse of $\frac{-5}{8}\times \frac{-3}{7}=\frac{15}{56}is\frac{56}{15}$.
[1 mark]

b) Multiplicative inverse of $\frac{1}{5}$ is 5.
[1 mark]

c) The multiplicative inverse of $3\frac{1}{3}$ or $\frac{10}{3}$ is $\frac{3}{10}$

[1 mark]