Combining proportions I am learning to combine proportions

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. Ratio Fractions Percentages Stack 1 Stack 2 Yellow Blue 4: 6 4/10 40% 8: 2 6: 4 2: 8 8/10 6/10 2/10 60% 80% 20% 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. 1 2

Now the two stacks have been combined. Ratio Stack 1 Fractions Percentages Yellow Blue 4: 6 4/10 40% 6: 4 Stack 2 8: 2 2: 8 Combined 12: 8 8: 12 6/10 60% 8/10 2/10 80% 20% 12/20 8/20 60% 40% Complete the ratio columns for the combined stack. Complete the fraction columns for the combined stack. Complete the percentage columns. Combined stack 2 Stack 1 Stack

Below are two more stack of cubes. We will use these to complete the table below. Ratio Fractions Percentages Red Purple Stack 1 3: 7 7: 3 3/10 7/10 30% 70% Stack 2 6: 4 4: 6 6/10 4/10 60% 40% Combined 9: 11 11: 9 9/20 11/20 45% 55% Complete the ratios, fractions and percentages column for Stack 2. Complete the combined column for ratios, fractions and percentages. 1 2

Use the stacks below to complete the following table. Click again when you have completed the table and are ready to see the answers. Ratio Lime Blue Percentages Lime Blue Stack 1 9: 1 1: 9 9/10 1/10 90% Stack 2 5: 5 5/10 50% 14: 20 6: 20 14/20 6/20 70% 30% Combined 1 Fractions Lime Blue 10% 2 Need some more practise? Try Pg 69 of Teacher Tools Addition and Subtraction Book Numeracy resources