Friday, 23 October 2015

Ratio's

Write the ratio Equation: 40:28 in its simplest form.

To work this out, look for a number that will divide into Equation: {40} and Equation: {28}.
Equation: {2} divides into both numbers, so Equation: 40:28 can be written as Equation: 20:14.
You can divide these by Equation: {2}, so the simplified ratio is Equation: 10:7.
No number divides into Equation: {10} and Equation: {7} exactly, so Equation: 10:7 is the simplest form of the ratio.
 
If you are making orange squash and you mix one part orange to four parts water, then the ratio of orange to water will be Equation: 1:4 (Equation: {1} to Equation: {4}).
  • If you use Equation: {1} litre of orange, you will use Equation: {4} litres of water Equation: (1:4).
  • If you use Equation: {2} litres of orange, you will use Equation: {8} litres of water Equation: (2:8).
  • If you use Equation: {10} litres of orange, you will use Equation: {40} litres of water Equation: (10:40).
These ratios are all equivalent:
Equation: 1:4~=~2:8~=~10:40
Both sides of the ratio can be multiplied or divided by the same number to give an equivalent ratio.

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