Question

Find answers to the following. Write and indicate how you solved them.

1. Is $\frac{5}{9}$ equal to $\frac{4}{5}$ ?
2. Is $\frac{9}{ 16}$ equal to $\frac{5}{9}$ ?
3. Is $\frac{4}{5}$ equal to $\frac{16}{20}$ ?
4. Is $\frac{1}{15}$ equal to $\frac{4}{30}$ ?

Answer 1

(a) $\frac{5}{9}$ and $\frac{4}{5}$

Cross-multiply the denominators, we get

$5 × 5 = 25$ and $4 × 9 = 36$

$25 ≠ 36$ , the fractions are also not equal.

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(b) $\frac{9}{ 16}$ and $\frac{5}{9}$

Cross-multiply the denominators, we get

$9 × 9 = 81$ and $16 × 5 =80$

$81 ≠ 80$ , the fractions are also not equal.

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(c) $\frac{4}{5}$ and $\frac{16}{20}$

Cross-multiply the denominators, we get

$4 × 20 = 80$ and $5 × 16 = 80$

$80 = 80$, the fractions are equal.

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(d) $\frac{1}{15}$ and $\frac{4}{30}$

Cross-multiply the denominators, we get

$1 × 30 = 30$ and $4 × 15 = 60$

$30 ≠ 60$, the fractions are also equal.