First one
[tex]\frac{-7}{9} \times \frac{3}{5}[/tex]
We cancel out common factors before multiplying out.
[tex]=\frac{-7}{3} \times \frac{1}{5}[/tex]
[tex]=\frac{-7\times 1}{3\times 5}[/tex]
[tex]=\frac{-7}{15}[/tex]
Second Question
[tex]=\frac{-2}{5} \times -1\frac{1}{4}[/tex]
We need to change the mixed numbers to improper fraction first.
[tex]=\frac{-2}{5} \times \frac{-5}{4}[/tex]
We now cancel out common factors.
[tex]=\frac{-1}{1} \times \frac{-1}{2}[/tex]
We multiply out now to obtain,
[tex]=\frac{-1\times -1}{1 \times 2}[/tex]
[tex]=\frac{1}{2}[/tex]
Third Question
[tex]=1\frac{3}{4} \times -1\frac{1}{4}[/tex]
We need to change the mixed numbers to improper fraction first.
[tex]=\frac{7}{4} \times \frac{-5}{4}[/tex]
[tex]=\frac{7 \times -5}{4\times 4}[/tex]
[tex]=\frac{-35}{16}[/tex]
[tex]=-2\frac{3}{16}[/tex]
Fourth Question
[tex]=1\frac{3}{4} \times \frac{-3}{4}[/tex]
[tex]=\frac{7}{4} \times \frac{-3}{4}[/tex]
[tex]=\frac{7\times -3}{4\times 4}[/tex]
[tex]=\frac{-21}{16}[/tex]
[tex]=-1\frac{5}{16}[/tex]
Fifth Question
[tex]=-\frac{7}{8} \times -1\frac{3}{7}[/tex]
[tex]=-\frac{7}{8} \times \frac{-10}{7}[/tex]
[tex]=-\frac{1}{8} \times \frac{-10}{1}[/tex]
[tex]=\frac{10}{8} [/tex]
[tex]=\frac{5}{4} [/tex]
[tex]=1\frac{1}{4} [/tex]
