A ratio is a simplified comparison between two or more components. For example, if a person A, and a person B is going to start a business. They don\u2019t know how much money they are going to make. In this case they decide on ratio how they will share the profit. 5:5 would be sharing the profit equally. 6:4 means if they make $10 profit, A will get $6 and B will get $4.<\/p>\n
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However, in questions, they normal do not give ratio in whole numbers. The key concept of ratio is that you can multiply or divide same number on both side, just like equations.<\/p>\n
For example,<\/p>\n
1:2 = 2:4 = 3: 6 = 4: 8<\/p>\n
You can multiply or divide same number on both sides like this. So when the ratio is given not whole number, you need to multiply a number to make them into whole number. For example,<\/p>\n
1.5 : 2.5<\/p>\n
This is not a whole number. To make this into whole number ratio, let\u2019s multiply 2 on both side.<\/p>\n
3:5<\/p>\n
The ratio was actually 3:5 which is much simpler to see.<\/p>\n
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Also, there are questions like A = 3C and B = 2C. Find ratio between A to B.<\/p>\n
For this question, you need to write it out. The question asks for A:B<\/p>\n
In the question A = 3C, and B = 2C<\/p>\n
Therefore A:B = 3C : 2C<\/p>\n
We can multiply or divide same number on both side, so if we divide by C on both side we get<\/p>\n
3:2<\/p>\n
Therefore the ratio between A and B is 3:2.<\/p>\n
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Another example would be 2A = 3C, 4B = 5C, Find ratio A to B<\/p>\n
For this question, you need to express A and b in terms of C<\/p>\n
A = 3C \/ 2 and B\u00a0 = 5C \/ 4\u00a0 we divided each equation with coefficient of A and B.<\/p>\n
Then A: B = 3C\/2 : 5C\/4<\/p>\n
Let\u2019s multiply both side by 4 then<\/p>\n
6C:5C<\/p>\n
Let\u2019s divide by C on both side then<\/p>\n
6:5<\/p>\n
Therefore ratio of A:B = 6:5<\/p>\n