Question

Express $\frac{3}{5}$ as a rational number with numerator:
(i) $6$
(ii) $-15$
(iii) $21$
(iv) $-27$

Answer 1

Rational number with numerator:
(i) Numerator: $6$
$\frac{3\times 2}{5\times 2}=\frac{6}{10}$ (multiplying numerator and denominator by $2$)
(ii) Numerator : $-15$
$\frac{3\times -5}{5\times -5}=\frac{-15}{-25}$ (multiplying numerator and denominator by $-5$)
(iii) Numerator: $21$
$\frac{3\times 7}{5\times 7}=\frac{21}{35}$ (multiplying numerator and denominator by $7$)
(iv) Numerator: $-27$
$\frac{3\times -9}{5\times -9}=\frac{-27}{-45}$ (multiplying numerator and denominator by $-9$)