Answer:
The first step on how to solve the ratio is to write the values you want to compare and you can write such values in any given form like using colon or through division sign or by writing isto. Let’s understand the steps through an example. Suppose you want to take out the ratio of your maths and physics marks. You have got 90 marks in maths and 70 marks in physics. So firstly I will write it in the form of a ratio.
90 is to 70 or 90:70 or 90/70.
Second step on how to solve the problem is to reduce the values into their simplest way. So for that you can take out the common factors from the numbers. And then we can divide both of the numbers from such a common factor so that we can get the numbers in their simplest form. For example we have a number 90 : 70 then after writing it in the format of ratios now you have to bring out the common factors between the terms of ratios. So in this example we have 10 as a common factor. Thus you will divide both the numbers 90 and 70 by 10 so that you get the numbers in their simplest form so you will get 90/10:70/10 = 9:7.
Thus the ratio is 9:7.
Let’s take another example of three digits and three digits are 75 marks in biology, 25 marks in physics and 100 marks in maths. So let’s first write it in the form of ratio that is
75 : 25 : 100
Now we need to follow the next step of how to solve ratios. That is to find out the common factor from all the numbers thus we can clearly see that 25 is the common factor so you will have to divide each number with 25.
75/25 : 25/25 : 100/25
= 3 : 1 : 4
Thus the answer is 3:1:4.
The important point to learn in ratio is that it does not change with the multiplication or division of same numbers. It will remain the same. For example if you multiply the above number with 2 then they will become 75 x 2 : 25 x 2 : 100 x 2 = 150 : 50 : 200. Now also the ratio is same if you convert it to the smallest form then like first you have to divide it by 50 then you will find get the same ratio that is 3:1:2.
You can also find the value of variables if two ratios are equal. Let’s take an example to understand it better. Suppose you have one ratio 3:2 and other ratio 5:x and these two ratios are equal and now you are required to find the value of x song the equation will be
3 / 4 = 3/X
3 x X = 3 x 2
X = 6/3
X= 2.