Question 4

To multiply fractions, we multiply their numerators and their denominators.

Step 1 — Multiply the first pair

Let's find the product for part (i). We multiply the top numbers together. We multiply the bottom numbers together. Then we simplify the fraction.

$\frac{2}{3} \times \frac{3}{10}$

$= \frac{2 \times 3}{3 \times 10}$

$= \frac{6}{30}$

$\boxed{\frac{1}{5}}$

Step 2 — Multiply the second pair

Now let's solve part (ii). We multiply the numerators. We multiply the denominators. We check if we can simplify the result.

$\frac{7}{11} \times \frac{5}{8}$

$= \frac{7 \times 5}{11 \times 8}$

$\boxed{\frac{35}{88}}$

Step 3 — Multiply the third pair

Let's find the product for part (iii). We have a negative fraction here. A negative number times a positive number is negative. We multiply the numerators. We multiply the denominators. Then we simplify the fraction.

$-\frac{4}{7} \times \frac{5}{14}$

$= \frac{-4 \times 5}{7 \times 14}$

$= \frac{-20}{98}$

$\boxed{-\frac{10}{49}}$

Answer

(i) $\frac{1}{5}$ (ii) $\frac{35}{88}$ (iii) $-\frac{10}{49}$