For a fraction,\(\frac {a}{b}\)
\(\frac {a}{b}=\frac{a\times n}{b\times n}\)
Where, n ≠ 0
(i) We have to express \(\frac{-3}{5}\) as a rational number with denominator 20.
In order to make the denominator 20, multiply 5 by 4.
Therefore,
\(\frac{-3}{5}=\frac{-3\times4}{5 \times 4}\)
\(\frac{-3}{5}=\frac{-12}{20}\)
(ii) We have to express \(\frac{-3}{5}\) as a rational number with denominator -30.
In order to make the denominator -30, multiply 5 by -6.
Therefore,
\(\frac{-3}{5}=\frac{-3\times-6}{5\times-6}\)
\(\Rightarrow\) \(\frac{-3}{5}=\frac{18}{-30}\)
(iii) We have to express \(\frac{-3}{5}\) as a rational number with denominator 35.
In order to make the denominator 35, multiply 5 by 7.
Therefore,
\(\frac{-3}{5}=\frac{-3\times7}{5\times7}\)
\(\Rightarrow\) \(\frac{-3}{5}=\frac{-21}{35}\)
(iv) We have to express\(\frac{-3}{5}\) as a rational number with denominator -40.
In order to make the denominator 20, multiply 5 by -8.
Therefore,
\(\frac{-3}{5}=\frac{-3\times-8}{5\times-8}\)
\(\Rightarrow\) \(\frac{-3}{5}=\frac{24}{-40}\)
