Gujarat BoardEnglish MediumSTD 7MATHSFractions and Decimals3 Marks
Question
Evaluate: $\frac{0.6}{0.3}+\frac{0.16}{0.4}$
✓
Answer
Given, $\frac{0.6}{0.3}+\frac{0.16}{0.4}$
$\because0.6=\frac{6}{10}\text{ and }0.3=\frac{3}{10}0.16$
$=\frac{16}{100}\text{ and}0.4=\frac{4}{10}$
$\therefore\frac{0.6}{0.3}+\frac{0.16}{0.4}=\frac{\frac{6}{10}}{3}+\frac{\frac{16}{100}}{4}$
$=\big(\frac{6}{10}\times\frac{10}{3}\big)\big(+\frac{16}{100}\times\frac{10}{4}\big)$
$[ \because$ divison is reverse of the multiplication$]$
$=\frac{60}{30}+\frac{160}{400}+=\frac{6}{3}+=\frac{16}{40}$
$=\frac{2}{1}+\frac{4}{10}=\frac{20+4}{10}$
$ [\because LCM$ of $1$ and $10 = 10]$
$=\frac{24}{10}=\frac{12}{5}=2.4$
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