a) \(\frac{{21}}{{13}} = \frac{{21.2}}{{13.2}} = \frac{{42}}{{26}}\)
b) \(\frac{{12}}{{ - 25}} = \frac{{12.3}}{{ - 25.3}} = \frac{{36}}{{ - 75}}\)
c) \(\frac{{18}}{{ - 48}} = \frac{{18:6}}{{ - 48:6}} = \frac{3}{{ - 8}}\)
d) \(\frac{{ - 42}}{{ - 24}} = \frac{{ - 42:(-6)}}{{ - 24:( - 6)}} = \frac{7}{4}\).
a: \(\dfrac{21}{13}=\dfrac{21\cdot2}{13\cdot2}=\dfrac{42}{26}\)
b: \(\dfrac{12}{-25}=\dfrac{12\cdot\left(-1\right)}{\left(-25\right)\cdot\left(-1\right)}=\dfrac{-12}{25}\)
c: \(\dfrac{18}{-48}=\dfrac{-18}{48}=\dfrac{-18:6}{48:6}=\dfrac{-3}{8}\)
d: \(\dfrac{-42}{-24}=\dfrac{42}{24}=\dfrac{42:6}{24:6}=\dfrac{7}{4}\)