Question

5. Evaluate and express the result as a rational number :

(c) $\left(1.8\times 3.2\right)\mathbf{÷}\mathbf{4}\mathbf{.}\mathbf{8}$

Answer 1

Step 1:

For evaluation $\left(1.8\times 3.2\right)÷4.8=\left(5.76\right)÷4.8=\frac{5.76}{4.8}=1.2$

Now we have to convert $1.2$ in $\frac{p}{q}$ form.

Step 2:

$1.2=$$1$ ones $+2$ tenths$=1\times 1+2\times \frac{1}{10}=1+\frac{2}{10}$

$1+\frac{2}{10}=\frac{10}{10}+\frac{2}{10}=\frac{10+2}{10}=\frac{12}{10}$

$\frac{12}{10}$ gets reduced to $\frac{6}{5}$

Answer : $\frac{\mathbf{6}}{\mathbf{5}}$