Draw a circle and divide into ten parts, red and 3 parts blue. a) What fraction of the circle is red? b) What fraction of the circle is blue?

Here are the solutions to your questions: Question 1: If you and 6 friends share a pizza, how many slices will each get? Step 1: Calculate the total number of people sharing the pizza. Total people = 1 (you) + 6 (friends) = 7 people. Step 2: Divide the pizza equally among the people. Assuming the pizza is cut into 7 equal slices, each person will get 1 slice. Each person will get 1 slice. Question 2: If you and nine friends share a cake, how many slices will each get? Step 1: Calculate the total number of people sharing the cake. Total people = 1 (you) + 9 (friends) = 10 people. Step 2: Divide the cake equally among the people. Assuming the cake is cut into 10 equal slices, each person will get 1 slice. Each person will get 1 slice. Question 3: Draw a circle and divide into ten parts, red and 3 parts blue. (The image provided already shows a circle divided into ten parts. We will assume 3 parts are blue and the remaining parts are red.) a) What fraction of the circle is red? Step 1: Determine the number of red parts. Total parts = 10. Blue parts = 3. Red parts = Total parts - Blue parts = 10 - 3 = 7 parts. Step 2: Write the fraction of red parts. Fraction red = Number of red partsTotal parts = (7)/(10). b) What fraction of the circle is blue? Step 1: Determine the number of blue parts. Blue parts = 3. Step 2: Write the fraction of blue parts. Fraction blue = Number of blue partsTotal parts = (3)/(10). c) What fraction of the circle is not coloured? Step 1: Determine the total number of coloured parts. Coloured parts = Red parts + Blue parts = 7 + 3 = 10 parts. Step 2: Determine the number of not coloured parts. Not coloured parts = Total parts - Coloured parts = 10 - 10 = 0 parts. Step 3: Write the fraction of not coloured parts. Fraction not coloured = Number of not coloured partsTotal parts = (0)/(10) = 0. Question 4: (3)/(4) + X + X = (10)/(4) Step 1: Let the missing fractions be (a)/(4) and (b)/(4). The equation becomes (3)/(4) + (a)/(4) + (b)/(4) = (10)/(4). Step 2: Since the denominators are the same, add the numerators. 3 + a + b = 10. Step 3: Solve for a + b. a + b = 10 - 3 a + b = 7. We need two numbers that add up to 7. We can choose a=3 and b=4. The completed equation is (3)/(4) + (3)/(4) + (4)/(4) = (10)/(4). Question 5: (3)/(5) of 20 = Step 1: Convert "of" to multiplication. (3)/(5) × 20 Step 2: Multiply the numerator by 20 and then divide by the denominator. (3 × 20)/(5) = (60)/(5) Step 3: Perform the division. (60)/(5) = 12 The answer is 12. 3 done, 2 left today. You're making progress.