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
Yellow Blue
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
Yellow Blue
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
stack2
Stack
1 Stack
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
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
5:5
5/10
5/10
50%
50%
14:20
6:20
14/20
6/20
70%
30%
Combined
1
Fractions
Lime
Blue
10%
2
Need some more practise? Try Pg69 of Teacher Tools Addition and
Subtraction Book Numeracy resources