Combining proportions

I am learning to combine proportions and work out what parts the total is made up of.

Below are two stacks of cubes. We will use this to complete the table below.

1 2

Ratio Fractions Percentages

Yellow Blue Yellow Blue Yellow Blue

Stack 1 4:6 6:4 4/10 6/10 40% 60%

Stack 2

Complete the ratio columns for stack 2. Remember ratios are expressed comparing one colour against the other.

Complete the fraction columns for stack 2. Remember fraction are expressed as an amount of one colour over all the colours.

Complete the percentage columns.

8:2 2:8 8/10 2/10 80% 20%

Now the two stacks have been combined.

Stack 1 Stack 2Combined stack

Ratio Fractions Percentages

Yellow Blue Yellow Blue Yellow Blue

Stack 1 4:6 6:4 4/10 6/10 40% 60%

Stack 2

Combined

Complete the ratio columns for the combined stack.

Complete the fraction columns for the combined stack.

Complete the percentage columns.

8:2 2:8 8/10 2/10 80% 20%

12:8 8:12 12/20 8/20 60% 40%

Below are two more stack of cubes. We will use these to complete the table below.

Ratio Fractions Percentages

Red Purple Red Purple Red Purple

Stack 1 3:7 7:3 3/10 7/10 30% 70%

Stack 2

Combined

1 2

Complete the ratios, fractions and percentages column for Stack 2.

6:4 4:6 6/10 4/10 60% 40%

Complete the combined column for ratios, fractions and percentages.

9:11 11:9 9/20 11/20 45% 55%

Use the stacks below to complete the following table.

Need some more practise? Try Pg69 of Teacher Tools Addition and Subtraction Book Numeracy resources

1 2

Ratio Fractions Percentages

Lime Blue Lime Blue Lime Blue

Stack 1

Stack 2

Combined

9:1 1:9

5:5 5:5

14:20 6:20

9/10 1/10

5/10 5/10

14/20 6/20

90% 10%

50% 50%

30%70%

Click again when you have completed the table and are ready to see the answers.