ctivity Convert the follawing to percentages (to 1 decinat place): 7. 3 3 कut of 55 3.2 0.72 \( 33 . \quad \frac{29}{60} \) 1.4. 0,013 1.5. 2.15 1.6. \( \quad 3 \frac{2}{7} \) Calculate the following; 2.1. \( 23 \% \) of 140 birds 2. \( 2.65 \% \) of 8390 2.3. \( 17 \% \) of 400 children 3. Calculate the new prices for the following items: 3.1. Bread is increased by \( 2,3 \% \) from \( R 13,20 \) 3.2. A pair of shoes is discounted by \( 35 \% \) from R 499 3.3. The price of a car that was R213 999 has increased by \( 6,5 \% \)

Calculate the value by following steps: - step0: Calculate: \(213999\left(1+\left(\frac{6.5}{100}\right)\right)\) - step1: Divide the terms: \(213999\left(1+\frac{13}{200}\right)\) - step2: Add the numbers: \(213999\times \frac{213}{200}\) - step3: Multiply: \(\frac{213999\times 213}{200}\) - step4: Multiply: \(\frac{45581787}{200}\) Calculate or simplify the expression \( (33 + (29/60))/1*100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(33+\frac{29}{60}\right)}{1}\times 100\) - step1: Remove the parentheses: \(\frac{33+\frac{29}{60}}{1}\times 100\) - step2: Add the numbers: \(\frac{\frac{2009}{60}}{1}\times 100\) - step3: Divide the terms: \(\frac{2009}{60}\times 100\) - step4: Reduce the numbers: \(\frac{2009}{3}\times 5\) - step5: Multiply: \(\frac{2009\times 5}{3}\) - step6: Multiply: \(\frac{10045}{3}\) Calculate or simplify the expression \( (17/100)*400 \). Calculate the value by following steps: - step0: Calculate: \(\frac{17}{100}\times 400\) - step1: Reduce the numbers: \(17\times 4\) - step2: Multiply the numbers: \(68\) Calculate or simplify the expression \( (3 + (2/7))/1*100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(3+\frac{2}{7}\right)}{1}\times 100\) - step1: Remove the parentheses: \(\frac{3+\frac{2}{7}}{1}\times 100\) - step2: Add the numbers: \(\frac{\frac{23}{7}}{1}\times 100\) - step3: Divide the terms: \(\frac{23}{7}\times 100\) - step4: Multiply: \(\frac{23\times 100}{7}\) - step5: Multiply: \(\frac{2300}{7}\) Calculate or simplify the expression \( (23/100)*140 \). Calculate the value by following steps: - step0: Calculate: \(\frac{23}{100}\times 140\) - step1: Reduce the numbers: \(\frac{23}{5}\times 7\) - step2: Multiply: \(\frac{23\times 7}{5}\) - step3: Multiply: \(\frac{161}{5}\) Calculate or simplify the expression \( (2.65/100)*8390 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{2.65}{100}\right)\times 8390\) - step1: Divide the terms: \(\frac{53}{2000}\times 8390\) - step2: Reduce the numbers: \(\frac{53}{200}\times 839\) - step3: Multiply: \(\frac{53\times 839}{200}\) - step4: Multiply: \(\frac{44467}{200}\) Calculate or simplify the expression \( (7.3/55)*100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{7.3}{55}\right)\times 100\) - step1: Divide the terms: \(\frac{73}{550}\times 100\) - step2: Reduce the numbers: \(\frac{73}{11}\times 2\) - step3: Multiply: \(\frac{73\times 2}{11}\) - step4: Multiply: \(\frac{146}{11}\) Calculate or simplify the expression \( (0.013/1)*100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{0.013}{1}\right)\times 100\) - step1: Divide the terms: \(\frac{13}{1000}\times 100\) - step2: Reduce the numbers: \(\frac{13}{10}\times 1\) - step3: Multiply: \(\frac{13}{10}\) Calculate or simplify the expression \( (2.15/1)*100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{2.15}{1}\right)\times 100\) - step1: Divide the terms: \(\frac{43}{20}\times 100\) - step2: Reduce the numbers: \(43\times 5\) - step3: Multiply the numbers: \(215\) Calculate or simplify the expression \( 13.20*(1 + (2.3/100)) \). Calculate the value by following steps: - step0: Calculate: \(13.2\left(1+\left(\frac{2.3}{100}\right)\right)\) - step1: Divide the terms: \(13.2\left(1+\frac{23}{1000}\right)\) - step2: Add the numbers: \(13.2\times \frac{1023}{1000}\) - step3: Convert the expressions: \(\frac{66}{5}\times \frac{1023}{1000}\) - step4: Multiply the fractions: \(\frac{66\times 1023}{5\times 1000}\) - step5: Multiply the terms: \(\frac{67518}{5\times 1000}\) - step6: Multiply the terms: \(\frac{67518}{5000}\) - step7: Reduce the fraction: \(\frac{33759}{2500}\) Calculate or simplify the expression \( (3.2/1)*100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{3.2}{1}\right)\times 100\) - step1: Divide the terms: \(\frac{16}{5}\times 100\) - step2: Reduce the numbers: \(16\times 20\) - step3: Multiply the numbers: \(320\) Calculate or simplify the expression \( 499*(1 - (35/100)) \). Calculate the value by following steps: - step0: Calculate: \(499\left(1-\left(\frac{35}{100}\right)\right)\) - step1: Reduce the fraction: \(499\left(1-\frac{7}{20}\right)\) - step2: Subtract the numbers: \(499\times \frac{13}{20}\) - step3: Multiply: \(\frac{499\times 13}{20}\) - step4: Multiply: \(\frac{6487}{20}\) Let's break down the calculations step by step. ### Converting to Percentages 1. **\( 7.3 \) out of \( 55 \)**: \[ \frac{7.3}{55} \times 100 \approx 13.3\% \] 2. **\( 3.2 \)**: \[ 3.2 \times 100 = 320.0\% \] 3. **\( 33 + \frac{29}{60} \)**: \[ 33 + \frac{29}{60} \approx 33.48 \quad \Rightarrow \quad 33.48 \times 100 \approx 3348.3\% \] 4. **\( 0.013 \)**: \[ 0.013 \times 100 = 1.3\% \] 5. **\( 2.15 \)**: \[ 2.15 \times 100 = 215.0\% \] 6. **\( 3 \frac{2}{7} \)**: \[ 3 + \frac{2}{7} \approx 3.2857 \quad \Rightarrow \quad 3.2857 \times 100 \approx 328.6\% \] ### Calculating Specific Percentages 1. **\( 23\% \) of \( 140 \) birds**: \[ 0.23 \times 140 = 32.2 \] 2. **\( 2.65\% \) of \( 8390 \)**: \[ 0.0265 \times 8390 \approx 222.3 \] 3. **\( 17\% \) of \( 400 \) children**: \[ 0.17 \times 400 = 68 \] ### Calculating New Prices 1. **Bread increased by \( 2.3\% \) from \( R 13.20 \)**: \[ 13.20 \times (1 + 0.023) \approx 13.20 \times 1.023 \approx R 13.50 \] 2. **A pair of shoes discounted by \( 35\% \) from \( R 499 \)**: \[ 499 \times (1 - 0.35) = 499 \times 0.65 \approx R 324.35 \] 3. **The price of a car that was \( R 213,999 \) increased by \( 6.5\% \)**: \[ 213999 \times (1 + 0.065) \approx 213999 \times 1.065 \approx R 227,908.94 \] ### Summary of Results - Percentages: - \( 7.3 \) out of \( 55 \): **13.3%** - \( 3.2 \): **320.0%** - \( 33 + \frac{29}{60} \): **3348.3%** - \( 0.013 \): **1.3%** - \( 2.15 \): **215.0%** - \( 3 \frac{2}{7} \): **328.6%** - Specific Calculations: - \( 23\% \) of \( 140 \): **32.2** - \( 2.65\% \) of \( 8390 \): **222.3** - \( 17\% \) of \( 400 \): **68** - New Prices: - Bread: **R 13.50** - Shoes: **R 324.35** - Car: **R 227,908.94**