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## QuestionMathsClass 7

Give four rational numbers equivalent to: (i) $$\frac{{-{2}}}{{7}}$$ (ii) $$\frac{{5}}{{-{3}}}$$ (iii) $$\frac{{4}}{{9}}$$

(i) Four numbers equivalent to $$-\frac{{2}}{{7}}$$ are

$$-\frac{{2}}{{7}}\ast\frac{{2}}{{2}}=-\frac{{4}}{{14}}$$

$$-\frac{{2}}{{7}}\ast\frac{{3}}{{3}}=-\frac{{6}}{{21}}$$

$$-\frac{{2}}{{7}}\ast\frac{{4}}{{4}}=-\frac{{8}}{{28}}$$

$$-\frac{{2}}{{7}}\ast\frac{{5}}{{5}}=-\frac{{10}}{{35}}$$

(ii)Four numbers equivalent to $$-\frac{{5}}{{3}}$$ are

$$-\frac{{5}}{{3}}\ast\frac{{2}}{{2}}=-\frac{{10}}{{6}}$$

$$-\frac{{5}}{{3}}\ast\frac{{3}}{{3}}=-\frac{{15}}{{9}}$$

$$-\frac{{5}}{{3}}\ast\frac{{4}}{{4}}=-\frac{{20}}{{12}}$$

$$-\frac{{5}}{{3}}\ast\frac{{5}}{{5}}=-\frac{{25}}{{15}}$$

(iii)Four numbers equivalent to $$\frac{{4}}{{9}}$$ are

$$\frac{{4}}{{9}}\ast\frac{{2}}{{2}}=\frac{{8}}{{18}}$$

$$\frac{{4}}{{9}}\ast\frac{{3}}{{3}}=\frac{{12}}{{27}}$$

$$\frac{{4}}{{9}}\ast\frac{{4}}{{4}}=\frac{{16}}{{36}}$$

$$\frac{{4}}{{9}}\ast\frac{{5}}{{5}}=\frac{{20}}{{45}}$$