Question

which of the following expressions represents a number greater than 1 (choose 2)

2/3 x 5

1/3 divided by 2/5

5/3 x 1/8

3/4 x 2/3

2/3 divided by 2/5

Answer 1

To determine which expressions represent a number greater than 1, we can evaluate each of them one by one:

1. **\( \frac{2}{3} \times 5 \)**
\[
= \frac{2 \times 5}{3} = \frac{10}{3} \approx 3.33 \quad (\text{greater than 1})
\]

2. **\( \frac{1}{3} \div \frac{2}{5} \)**
\[
= \frac{1}{3} \times \frac{5}{2} = \frac{1 \times 5}{3 \times 2} = \frac{5}{6} \approx 0.83 \quad (\text{not greater than 1})
\]

3. **\( \frac{5}{3} \times \frac{1}{8} \)**
\[
= \frac{5 \times 1}{3 \times 8} = \frac{5}{24} \approx 0.208 \quad (\text{not greater than 1})
\]

4. **\( \frac{3}{4} \times \frac{2}{3} \)**
\[
= \frac{3 \times 2}{4 \times 3} = \frac{6}{12} = \frac{1}{2} \quad (\text{not greater than 1})
\]

5. **\( \frac{2}{3} \div \frac{2}{5} \)**
\[
= \frac{2}{3} \times \frac{5}{2} = \frac{2 \times 5}{3 \times 2} = \frac{5}{3} \approx 1.67 \quad (\text{greater than 1})
\]

From the evaluations, the expressions representing numbers greater than 1 are:

- \( \frac{2}{3} \times 5 \)
- \( \frac{2}{3} \div \frac{2}{5} \)

So the two expressions are:

- **\( \frac{2}{3} \times 5 \)**
- **\( \frac{2}{3} \div \frac{2}{5} \)**