Question

Solve this:

1. Express the following in the form of $\frac{\mathrm{p}}{\mathrm{q}}$ form.

A. 0.6
B. 0.333
C. 0.15999
D. 0.23
E. 0.777
F. 8.3252525
G. 3.75

Answer 1

Dear student
$$\begin{gathered} \mathrm{B}.\mathrm{Let}\mathrm{x}=0.33333.......\left(1\right) \\ \mathrm{Multiply}\mathrm{by}10\mathrm{both}\mathrm{sides},\mathrm{we}\mathrm{get} \\ 10\mathrm{x}=3.33333........\left(2\right) \\ \mathrm{Subtract}\left(1\right)\mathrm{from}\left(2\right),\mathrm{we}\mathrm{get} \\ 10\mathrm{x}-\mathrm{x}=\left(3.33333.....\right)-\left(0.33333....\right) \\ \Rightarrow 9\mathrm{x}=3 \\ \Rightarrow \mathrm{x}=\frac{3}{9} \\ \Rightarrow \mathrm{x}=\frac{1}{3} \\ \mathrm{Similarly}\mathrm{try}\mathrm{other} \end{gathered}$$
Regards