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QUESTION 1 1.1. Rearrange each of the following in ascending order. \( 1.1 .1756,017 ; 56,525 ; 670,76 ; 8,105 ; 56,106 ; 685,503 ; 7,016 ; 787,874 \) \( 1.1 .2 \frac{5}{7} ; \frac{3}{17} ; \frac{1}{2} ; \frac{7}{9} \) Calculate each of the following without using a calculator. Show all working, \( 1.2 .1 \frac{\frac{7}{4} \times \frac{2}{5}}{\frac{5}{2}\left(\frac{3}{4}+\frac{11}{20}\right)} \)

Ask by Erickson Crawford. in South Africa
Mar 12,2025

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**Problem 1.1.1 – Ascending Order** Numbers arranged from smallest to largest: \[ 7.016,\quad 8.105,\quad 56.106,\quad 56.525,\quad 670.76,\quad 685.503,\quad 787.874,\quad 1756.017 \] --- **Problem 1.1.2 – Ascending Order** Fractions in order from smallest to largest: \[ \frac{3}{17},\quad \frac{1}{2},\quad \frac{5}{7},\quad \frac{7}{9} \] --- **Problem 1.2.1 – Calculation** Final answer: \[ \frac{14}{65} \]

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Sure! Here’s the solution to your queries: 1.1. To arrange the numbers in ascending order, we first convert them into similar formats, such as decimals if needed. Here's the ordered list: - 1756.017 - 56,106 - 56,525 - 670.76 - 7,016 - 8,105 - 685,503 - 787,874 For the fractions, we can convert them to decimals to compare: - \(\frac{3}{17} \approx 0.176\) - \(\frac{1}{2} = 0.5\) - \(\frac{5}{7} \approx 0.714\) - \(\frac{7}{9} \approx 0.778\) Thus, the fractions in ascending order are: - \(\frac{3}{17}\) - \(\frac{1}{2}\) - \(\frac{5}{7}\) - \(\frac{7}{9}\) 1.2. To calculate the expression \(\frac{\frac{7}{4} \times \frac{2}{5}}{\frac{5}{2}\left(\frac{3}{4}+\frac{11}{20}\right)}\): First, calculate the numerator: \[ \frac{7}{4} \times \frac{2}{5} = \frac{7 \times 2}{4 \times 5} = \frac{14}{20} = \frac{7}{10} \] Next, calculate the denominator: \[ \frac{5}{2}\left(\frac{3}{4}+\frac{11}{20}\right) \] To add the fractions inside the parentheses, we need a common denominator: \(\frac{3}{4} = \frac{15}{20}\), so: \[ \frac{3}{4} + \frac{11}{20} = \frac{15}{20} + \frac{11}{20} = \frac{26}{20} \] Now, substituting that back: \[ \frac{5}{2} \times \frac{26}{20} = \frac{130}{40} = \frac{13}{4} \] Putting it all together: \[ \frac{\frac{7}{10}}{\frac{13}{4}} = \frac{7}{10} \times \frac{4}{13} = \frac{28}{130} = \frac{14}{65} \] Thus, the final answer is \(\frac{14}{65}\).

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