Question

Find the product, -7/9 × 3/5, -2/5 × -1 1/4, 1 3/4 × -1 1/4, 1 3/4 × -3/4, -7/8 × -1 3/7, answer all please and thank you

Answer 1

First one

$\frac{-7}{9} \times \frac{3}{5}$

We cancel out common factors before multiplying out.

$=\frac{-7}{3} \times \frac{1}{5}$

$=\frac{-7\times 1}{3\times 5}$

$=\frac{-7}{15}$

Second Question

$=\frac{-2}{5} \times -1\frac{1}{4}$

We need to change the mixed numbers to improper fraction first.

$=\frac{-2}{5} \times \frac{-5}{4}$

We now cancel out common factors.

$=\frac{-1}{1} \times \frac{-1}{2}$

We multiply out now to obtain,

$=\frac{-1\times -1}{1 \times 2}$

$=\frac{1}{2}$

Third Question

$=1\frac{3}{4} \times -1\frac{1}{4}$

We need to change the mixed numbers to improper fraction first.

$=\frac{7}{4} \times \frac{-5}{4}$

$=\frac{7 \times -5}{4\times 4}$

$=\frac{-35}{16}$

$=-2\frac{3}{16}$

Fourth Question

$=1\frac{3}{4} \times \frac{-3}{4}$

$=\frac{7}{4} \times \frac{-3}{4}$

$=\frac{7\times -3}{4\times 4}$

$=\frac{-21}{16}$

$=-1\frac{5}{16}$

Fifth Question

$=-\frac{7}{8} \times -1\frac{3}{7}$

$=-\frac{7}{8} \times \frac{-10}{7}$

$=-\frac{1}{8} \times \frac{-10}{1}$

$=\frac{10}{8}$

$=\frac{5}{4}$

$=1\frac{1}{4}$