We use ratio to compare amounts.
Here are some red squares and some blue squares.
There are 3 red squares and 6 blue squares.
We can say the ratio of red to blue squares is 3:6
We read this as 3 to 6
For every 3 red squares, there are 6 blue squares.
3 and 6 are both in the 3 times table so we can simplify this ratio by dividing both numbers by 3
The ratio of red squares to blue squares is 1:2
If we wanted to write the ratio of blue squares to red squares we would have to write the numbers the other way around.
The ratio of blue squares to red squares is 6:3 or simplified it is 2:1
Here are some yellow circles, some blues circles and some red circles
There are 4 yellow circles, 2 blue circles and 6 red circles. The ratio of yellow circles to blue circles to red circles is 4:2:6
4, 2 and 6 are all in the 2 times table so we can simplify by dividing by 2
The ratio of yellow circles to blue circles to red circles is 2:1:3
Write the ratio of red rings to blue rings.
We simplify ratio in the same way we simplify fractions.
10 and 15 are both in the 5 times table, we can simplify by dividing both 10 and 15 by 5
10 ÷ 5 = 2
15 ÷ 5 = 3
10:15 = 2:3
20 and 8 are both in the 4 times table (they are also both in the 2 times table), we can simplify by dividing both 20 and 8 by 4
20 ÷ 4 = 5
8 ÷ 4 = 2
20:8 = 5:2
If we had divided by 2 we would get 10:4
To simplify fully we would have to divide by 2 again - we would then get the same answer 5:2
A whole is
Out of every 5 pens, 1 is green and 4 are red
The ratio of green pens to red pens is 1:4
Example: The ratio of black pens to blue pens in a box is 3:1
What fraction of the pens are black?
For every 3 black pens there is 1 blue pen
Out of every 4 pens 3 are black.