1. **Stating the problem:** We want to find a percentage of an amount using equivalent fractions and division. 2. **Formula and rule:** To find $p\%$ of an amount $A$, convert the percentage to a fraction $\frac{p}{100}$ and multiply: $$\text{Percentage of amount} = \frac{p}{100} \times A$$ Since some percentages correspond to simple fractions, we can divide the amount by the denominator of the fraction. 3. **Equivalent fractions given:** - 50% = $\frac{1}{2}$ so divide by 2 - 25% = $\frac{1}{4}$ so divide by 4 - 20% = $\frac{1}{5}$ so divide by 5 - 10% = $\frac{1}{10}$ so divide by 10 - 1% = $\frac{1}{100}$ so divide by 100 4. **Calculations using bar models:** (a) 50% of 824: $$50\% = \frac{1}{2}$$ Divide 824 by 2: $$\frac{824}{2} = 412$$ So, 50% of 824 is 412. (b) 25% of 1480: $$25\% = \frac{1}{4}$$ Divide 1480 by 4: $$\frac{1480}{4} = 370$$ So, 25% of 1480 is 370. (c) 10% of 4560: $$10\% = \frac{1}{10}$$ Divide 4560 by 10: $$\frac{4560}{10} = 456$$ So, 10% of 4560 is 456. 5. **Calculations without bar models:** (a) 50% of 2870: $$50\% = \frac{1}{2}$$ Divide 2870 by 2: $$\frac{2870}{2} = 1435$$ So, 50% of 2870 is 1435. (b) 20% of 3640: $$20\% = \frac{1}{5}$$ Divide 3640 by 5: $$\frac{3640}{5} = 728$$ So, 20% of 3640 is 728. (c) 1% of 1900: $$1\% = \frac{1}{100}$$ Divide 1900 by 100: $$\frac{1900}{100} = 19$$ So, 1% of 1900 is 19.