1. **Problem (b): Write down a fraction equivalent to $\frac{2}{9}$.**
To find an equivalent fraction, multiply numerator and denominator by the same number.
For example, multiply both by 2:
$$\frac{2 \times 2}{9 \times 2} = \frac{4}{18}$$
So, $\frac{4}{18}$ is equivalent to $\frac{2}{9}$.
2. **Problem (c): Simplify $\frac{15}{20}$ to its simplest form.**
Find the greatest common divisor (GCD) of 15 and 20, which is 5.
Divide numerator and denominator by 5:
$$\frac{15 \div 5}{20 \div 5} = \frac{3}{4}$$
So, $\frac{15}{20}$ simplifies to $\frac{3}{4}$.
3. **Problem (d): Calculate $\frac{8}{23} - \frac{3}{23}$.**
Since denominators are the same, subtract numerators:
$$\frac{8 - 3}{23} = \frac{5}{23}$$
So, the result is $\frac{5}{23}$.
4. **Problem 8 (a): Write down a metric unit for volume of juice in a glass.**
A common metric unit for volume is the **milliliter (mL)** or **liter (L)**.
5. **Problem 8 (b): Write down an imperial unit for length of a bus.**
A common imperial unit for length is the **foot** or **yard**.
**Summary:**
- (b) Equivalent fraction to $\frac{2}{9}$ is $\frac{4}{18}$.
- (c) Simplified form of $\frac{15}{20}$ is $\frac{3}{4}$.
- (d) $\frac{8}{23} - \frac{3}{23} = \frac{5}{23}$.
- (8a) Metric unit for volume: milliliter (mL).
- (8b) Imperial unit for length: foot.
Fractions Units
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