Pregunta

RCISE 1.15: Percentages \[ \begin{array}{l} \text { RCISE 1.15: Percentages } \\ \text { xpress each of the following Afrikaans test results as a percentage. } \\ 1.1 \quad \frac{7}{12}=\underline{5,3 \%} 1.2 \quad \frac{70}{200}=35 \% \quad 1.3 \quad \frac{77}{120}=\frac{L 4 \%}{} \\ 1.4 \quad \frac{172}{220}=78 \%-1.5 \quad \frac{17}{20}=\underline{85 \%} 1.6 \quad \frac{12}{70}=17 \% \\ \end{array} \]

Ask by Mann Nunez. in South Africa
Jan 29,2025

Solución de inteligencia artificial de Upstudy

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Here are the corrected percentage conversions: 1. **1.1:** \(\frac{7}{12} = 58.3\%\) 2. **1.2:** \(\frac{70}{200} = 35\%\) 3. **1.3:** \(\frac{77}{120} = 64.2\%\) 4. **1.4:** \(\frac{172}{220} = 78.2\%\) 5. **1.5:** \(\frac{17}{20} = 85\%\) 6. **1.6:** \(\frac{12}{70} = 17.1\%\) These are the correct percentage representations of the given fractions.

Solución

Sure, I'd be happy to help you express each of the given fractions as percentages. Let's go through each problem step by step. ### **Problem 1.1** \[ \frac{7}{12} = \underline{? \%} \] **Solution:** To convert a fraction to a percentage, multiply it by 100. \[ \frac{7}{12} \times 100 = \frac{700}{12} \approx 58.33\% \] **Answer:** \[ \frac{7}{12} = \underline{58.3\%} \] --- ### **Problem 1.2** \[ \frac{70}{200} = 35\% \] **Solution:** \[ \frac{70}{200} \times 100 = 35\% \] **Answer:** \[ \frac{70}{200} = 35\% \] *This answer is correct.* --- ### **Problem 1.3** \[ \frac{77}{120} = \underline{? \%} \] **Solution:** \[ \frac{77}{120} \times 100 = \frac{7700}{120} \approx 64.17\% \] **Answer:** \[ \frac{77}{120} = \underline{64.2\%} \] --- ### **Problem 1.4** \[ \frac{172}{220} = 78\% - ? \] **Solution:** \[ \frac{172}{220} \times 100 = \frac{17200}{220} \approx 78.18\% \] **Answer:** \[ \frac{172}{220} = 78.2\% \] *Your initial answer of 78% is correct when rounded to the nearest whole number.* --- ### **Problem 1.5** \[ \frac{17}{20} = \underline{85\%} \] **Solution:** \[ \frac{17}{20} \times 100 = 85\% \] **Answer:** \[ \frac{17}{20} = 85\% \] *This answer is correct.* --- ### **Problem 1.6** \[ \frac{12}{70} = 17\% \] **Solution:** \[ \frac{12}{70} \times 100 = \frac{1200}{70} \approx 17.14\% \] **Answer:** \[ \frac{12}{70} = 17.1\% \] *Your initial answer of 17% is correct when rounded to the nearest whole number.* --- ### **Summary of Corrected Answers** 1. **1.1:** \(\frac{7}{12} = \underline{58.3\%}\) 2. **1.2:** \(\frac{70}{200} = 35\%\) *(Correct)* 3. **1.3:** \(\frac{77}{120} = \underline{64.2\%}\) 4. **1.4:** \(\frac{172}{220} = 78.2\%\) *(78% when rounded)* 5. **1.5:** \(\frac{17}{20} = 85\%\) *(Correct)* 6. **1.6:** \(\frac{12}{70} = 17.1\%\) *(17% when rounded)* If you need further explanations or assistance with more problems, feel free to ask!

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Bonus Knowledge

To convert a fraction into a percentage, you simply divide the numerator by the denominator and then multiply the result by 100. For example, for the fraction \(\frac{7}{12}\), you would calculate \(\frac{7}{12} \approx 0.5833\) and multiply that by 100 to get approximately \(58.33\%\). This method works for all fractions, making percentage calculation straightforward! It's important to double-check your calculations, especially when dealing with larger numbers or more complex fractions. A common mistake is misplacing the decimal point or forgetting to multiply by 100 after dividing. Additionally, it’s useful to simplify fractions first if possible, as it can make the calculations easier and help prevent errors.

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