Question

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

(b) $\mathbf{7}\mathbf{.}\mathbf{068}\mathbf{÷}\mathbf{1}\mathbf{.}\mathbf{9}$

Answer 1

Step 1:

For evaluation $7.068÷1.9=\frac{7.068}{1.9}=3.72$

Now we have to convert $3.72$ in $\frac{p}{q}$ form.

Step 2:

$3.72=$$3$ ones $+7$ tenths $+2$ hundredths $=3\times 1+7\times \frac{1}{10}+2\times \frac{1}{100}=3+\frac{7}{10}+\frac{2}{100}$

$3+\frac{7}{10}+\frac{2}{100}=\frac{300}{100}+\frac{70}{100}+\frac{2}{100}=\frac{300+70+2}{100}=\frac{372}{100}$

$\frac{372}{100}$ gets reduced to $\frac{93}{25}$

Answer : $\frac{\mathbf{93}}{\mathbf{25}}$