(i)
\(\frac{3}{5}\times\frac{-7}{8}\)
\(=\frac{3\times-7}{5\times8}\)
= \(\frac{-21}{40}\)
(ii)
\(\frac{-9}{2}\times\frac{5}{4}\)
= \(\frac{-9\times5}{2\times4}\)
= \(\frac{-45}{8}\)
(iii)
\(\frac{-6}{11}\times\frac{-5}{3}\)
= \(\frac{-6\times-5}{11\times3}\)
= \(\frac{30}{33}\)
In lowest terms,
\(\frac{30}{33}= \frac{30 ÷3}{33 ÷3}=\frac{10}{11}\)
(iv)
\(\frac{-2}{3}\times\frac{6}{7}\)
= \(\frac{-2\times6}{3\times7}\)
= \(\frac{-12}{21}\)
In lowest terms,
\(\frac{-12}{21}=\frac{-12 ÷3}{21 ÷3}=\frac{-4}{7}\)
(v)
\(\frac{-12}{5}\times\frac{10}{-3}\)
= \(\frac{-12\times10}{5\times-3}\)
= \(\frac{-120}{-15}=\frac{-120\times-1}{-15\times-1}=\frac{120}{15}\)
In lowest terms,
= \(\frac{120}{15}=\frac{120 ÷3}{15 ÷3} =\frac{40}{5}\)
Further,
\(\frac{40}{5}= \frac{40 ÷5}{5 ÷5}=\frac{8}{1}=8\)
(vi)
\(\frac{25}{-9}\times\frac{3}{-10}\)
= \(\frac{25\times3}{-9\times-10}\)
= \(\frac{75}{90}\)
In lowest terms,
\(\frac{75}{90}= \frac{75 ÷15}{90 ÷15}=\frac{5}{6}\)
(vii)
\(\frac{5}{-18}\times\frac{-9}{20}\)
= \(\frac{5\times-9}{-18\times20}\)
= \(\frac{-45}{-360}= \frac{-45\times-1}{-360\times-1}\)= \(\frac{45}{360}\)
in lowest terms,
\(\frac{45}{360}= \frac{45 ÷45}{360 ÷-45} =\frac{1}{8}\)
(viii)
\(\frac{-13}{15}\times\frac{-25}{26}\)
= \(\frac{-13\times-25}{15\times26}\)
= \(\frac{325}{390}\)
In lowest terms,
\(\frac{325}{390}=\frac{325 ÷5}{390 ÷5}=\frac{65}{78}\)
Further,
\(\frac{65}{78}=\frac{65 ÷13}{78 ÷13}=\frac{5}{6}\)
(ix)
\(\frac{16}{-21}\times\frac{14}{5}\)
= \(\frac{16\times14}{-21\times5}\)
= \(\frac{224}{-105}=\frac{224\times-1}{-105\times-1}=\frac{-224}{105}\)
In lowest terms,
\(\frac{-224}{105}=\frac{-224 ÷7}{105 ÷7} =\frac{-32}{15}\)
(x)
\(\frac{-7}{6}\times24\)
= \(\frac{-7}{6}\times\frac{24}{1}\)
= \(\frac{-7\times24}{6\times1}\)
= \(\frac{-168}{6}\)
In lowest terms,
\(\frac{-168}{6}=\frac{-168 ÷2}{6 ÷2}=\frac{-84}{3}\)
Further,
\(\frac{-84}{3}=\frac{-84 ÷3}{3 ÷3}=\frac{-28}{1}= -28\)
(xi)
\(\frac{7}{24}\times-48\)
= \(\frac{7}{24}\times\frac{-48}{1}\)
= \(\frac{7\times-48}{24\times1}\)
= \(\frac{-336}{24}\)
(xii)
\(\frac{-13}{5}\times{-10}\)
= \(\frac{-13}{5}\times\frac{-10}{1}\)
= \(\frac{-13\times-10}{5\times1}\)
= \(\frac{130}5{}\)
In lowest terms,
\(\frac{130}{5}=\frac{130 ÷5}{5 ÷5}=\frac{26}{1}=26\)