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, \( 1.2 .1 \frac{\frac{7}{4} \times \frac{2}{5}}{\frac{5}{2}\left(\frac{3}{4}+\frac{11}{20}\right)} \)

**Problem 1.1.1 – Ascending Order** The numbers given are: \[ 1756,017 \quad (1756.017),\quad 56,525 \quad (56.525),\quad 670,76 \quad (670.76),\quad 8,105 \quad (8.105), \] \[ 56,106 \quad (56.106),\quad 685,503 \quad (685.503),\quad 7,016 \quad (7.016),\quad 787,874 \quad (787.874) \] (Convert the comma to a decimal point.) Arranging from the smallest to the 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** The fractions given are: \[ \frac{5}{7},\quad \frac{3}{17},\quad \frac{1}{2},\quad \frac{7}{9} \] Convert to approximate decimals: \[ \frac{5}{7} \approx 0.7143,\quad \frac{3}{17} \approx 0.1765,\quad \frac{1}{2} = 0.5,\quad \frac{7}{9} \approx 0.7778 \] Thus, in ascending order: \[ \frac{3}{17},\quad \frac{1}{2},\quad \frac{5}{7},\quad \frac{7}{9} \] --- **Problem 1.2.1 – Calculation** We need to simplify: \[ \frac{\frac{7}{4} \times \frac{2}{5}}{\frac{5}{2}\left(\frac{3}{4}+\frac{11}{20}\right)} \] 1. **Simplify the numerator:** \[ \frac{7}{4} \times \frac{2}{5} = \frac{14}{20} = \frac{7}{10} \] 2. **Simplify the denominator:** First, add the fractions inside the parenthesis: \[ \frac{3}{4}+\frac{11}{20} = \frac{15}{20}+\frac{11}{20} = \frac{26}{20} = \frac{13}{10} \] Then multiply by \(\frac{5}{2}\): \[ \frac{5}{2}\times\frac{13}{10} = \frac{65}{20} = \frac{13}{4} \] 3. **Divide numerator by denominator:** \[ \frac{\frac{7}{10}}{\frac{13}{4}} = \frac{7}{10} \times \frac{4}{13} = \frac{28}{130} = \frac{14}{65} \] Thus, the final answer is: \[ \frac{14}{65} \]