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.

$$\frac{1}{4} + \frac{2}{4} = \frac{1+2}{4} = \frac{3}{4}$$

The answer is $\boxed{\frac{3}{4}}$.

$$\frac{2}{5} + \frac{1}{5} = \frac{2+1}{5} = \frac{3}{5}$$

The answer is $\boxed{\frac{3}{5}}$.

$$\frac{3}{8} + \frac{2}{8} = \frac{3+2}{8} = \frac{5}{8}$$

The answer is $\boxed{\frac{5}{8}}$.

$$\frac{3}{6} = \frac{1}{2}$$

The answer is $\boxed{\frac{1}{2}}$.

$$\frac{3}{7} + \frac{2}{7} = \frac{3+2}{7} = \frac{5}{7}$$

The answer is $\boxed{\frac{5}{7}}$.

$$\frac{6}{8} = \frac{3}{4}$$

The answer is $\boxed{\frac{3}{4}}$.

$$\frac{4}{8} + \frac{3}{8} = \frac{4+3}{8} = \frac{7}{8}$$

The answer is $\boxed{\frac{7}{8}}$.

$$\frac{5}{5} = 1$$

The answer is $\boxed{1}$.

$$\frac{1}{6} + \frac{4}{6} = \frac{1+4}{6} = \frac{5}{6}$$

The answer is $\boxed{\frac{5}{6}}$.

4. At the party I had $\frac{1}{8}$ of the cake and my friend had $\frac{3}{8}$. How much cake did we have altogether? Make a drawing to show your answer.

$$\frac{4}{8} = \frac{1}{2}$$

We had $\boxed{\frac{1}{2}}$ of the cake altogether.

Imagine a rectangular cake divided into 8 equal slices.

• Shade 1 slice to represent the $\frac{1}{8}$ you had.
• Shade 3 more slices to represent the $\frac{3}{8}$ your friend had. You will see a total of 4 shaded slices out of 8, which visually represents $\frac{4}{8}$ or $\frac{1}{2}$ 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): $\frac{3}{8} + \frac{2}{8} + \frac{3}{8} = \boxed{1}$
• Strip 2 (divided into 6 parts): $\frac{2}{6} + \frac{2}{6} + \frac{2}{6} = \boxed{1}$
• Strip 3 (divided into 5 parts): $\frac{2}{5} + \frac{1}{5} + \frac{2}{5} = \boxed{1}$
• Strip 4 (divided into 4 parts): $\frac{1}{4} + \frac{2}{4} + \frac{1}{4} = \boxed{1}$
• Strip 5 (divided into 3 parts): $\frac{1}{3} + \frac{1}{3} + \frac{1}{3} = \boxed{1}$
• Strip 6 (divided into 2 parts): $\frac{1}{2} + \frac{1}{2} = \boxed{1}$
• Strip 7 (divided into 1 part): $\frac{1}{1} = \boxed{1}$