Question

If a>b then $\frac{1}{\mathrm{a}}>\frac{1}{\mathrm{b}}$.(where a and b are natural numbers)

• A. True
• B. False

Answer 1

The correct option is B False

Let a=$=2$; b$=3$

then,$\frac{1}{\mathrm{a}}$ $=\frac{1}{2}$; $\frac{1}{\mathrm{b}}=\frac{1}{3}$

Convert $\frac{1}{2}$and $\frac{1}{3}$into like like fractions by obtaining L.C.M of their denominators,we get

L.C.M of $2$ and $3=6$

$\frac{1}{2}$$=\frac{1\times 3}{2\times 3}=\frac{3}{6}$

$\frac{1}{3}=\frac{1\times 2}{3\times 2}=\frac{2}{6}$

It is clear that $\frac{2}{6}<\frac{3}{6}$

⇒$\frac{1}{2}$$<$ $\frac{1}{3}$ or $\frac{1}{\mathrm{a}}<\frac{1}{\mathrm{b}}$

Thus, If a>b then $\frac{1}{\mathrm{a}}>\frac{1}{\mathrm{b}}$ is the incorrect statement.