Use the diagram to complete the sums. 4. At the party I had 1/8 of the cake and my friend had 3/8. How much cake did we have altogether? Make a drawing to show your answer.

here are the solutions to the problems: 3. Use the diagram to complete the sums. a) Step 1: Add the numerators since the denominators are the same. (1)/(4) + (2)/(4) = (1+2)/(4) = (3)/(4) The answer is (3)/(4). b) Step 1: Add the numerators since the denominators are the same. (2)/(5) + (1)/(5) = (2+1)/(5) = (3)/(5) The answer is (3)/(5). c) Step 1: Add the numerators since the denominators are the same. (3)/(8) + (2)/(8) = (3+2)/(8) = (5)/(8) The answer is (5)/(8). d) Step 1: Add the numerators since the denominators are the same. (1)/(6) + (2)/(6) = (1+2)/(6) = (3)/(6) Step 2: Simplify the fraction. (3)/(6) = (1)/(2) The answer is (1)/(2). e) Step 1: Add the numerators since the denominators are the same. (3)/(7) + (2)/(7) = (3+2)/(7) = (5)/(7) The answer is (5)/(7). f) Step 1: Add the numerators since the denominators are the same. (5)/(8) + (1)/(8) = (5+1)/(8) = (6)/(8) Step 2: Simplify the fraction. (6)/(8) = (3)/(4) The answer is (3)/(4). g) Step 1: Add the numerators since the denominators are the same. (4)/(8) + (3)/(8) = (4+3)/(8) = (7)/(8) The answer is (7)/(8). h) Step 1: Add the numerators since the denominators are the same. (3)/(5) + (2)/(5) = (3+2)/(5) = (5)/(5) Step 2: Simplify the fraction. (5)/(5) = 1 The answer is 1. i) Step 1: Add the numerators since the denominators are the same. (1)/(6) + (4)/(6) = (1+4)/(6) = (5)/(6) The answer is (5)/(6). 4. At the party I had (1)/(8) of the cake and my friend had (3)/(8). How much cake did we have altogether? Make a drawing to show your answer. Step 1: Add the fractions to find the total amount of cake. (1)/(8) + (3)/(8) = (1+3)/(8) = (4)/(8) Step 2: Simplify the fraction. (4)/(8) = (1)/(2) We had (1)/(2) of the cake altogether. Step 3: Drawing to show the answer: Imagine a rectangular cake divided into 8 equal slices. • Shade 1 slice to represent the (1)/(8) you had. • Shade 3 more slices to represent the (3)/(8) your friend had. You will see a total of 4 shaded slices out of 8, which visually represents (4)/(8) or (1)/(2) of the cake. Fraction fun: Make seven sums using the colours on each fraction strip. Here are the sums based on the colored segments in each strip: Strip 1 (divided into 8 parts): (3)/(8) + (2)/(8) + (3)/(8) = 1 Strip 2 (divided into 6 parts): (2)/(6) + (2)/(6) + (2)/(6) = 1 Strip 3 (divided into 5 parts): (2)/(5) + (1)/(5) + (2)/(5) = 1 Strip 4 (divided into 4 parts): (1)/(4) + (2)/(4) + (1)/(4) = 1 Strip 5 (divided into 3 parts): (1)/(3) + (1)/(3) + (1)/(3) = 1 Strip 6 (divided into 2 parts): (1)/(2) + (1)/(2) = 1 Strip 7 (divided into 1 part): (1)/(1) = 1 What's next?