Which of the following fractions are in their lowest terms?
(a) $ \frac{14}{21} $
(b) $ \frac{30}{42} $
(c) $ \frac{18}{25} $
(d) $ \frac{15}{17} $
a) $\frac{14}{21}=\frac{7\times2}{7\times3}$
$=\frac{2}{3}$
b) $\frac{30}{42}=\frac{5\times6}{5\times7}$
$=\frac{6}{7}$
c) $\frac{18}{25}$
18 and 25 have no common factors.
Therefore, $\frac{18}{25}$ is in its lowest form.
d) $\frac{15}{17}$
15 and 17 have no common factors.
Therefore, $\frac{15}{17}$ is in its lowest form.
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