Ratio

In our daily life, many times we compare two quantities of the same type, don't you do that? For example, if we compare the length of a grasshopper to an ant, you will find grasshopper's length 4 to 5 cm where as the ant's length to a few mm isn't it? Comparison will be better and try to find out how many ants can placed one behind the other to match the length of the grasshopper, we find that we can place at least 20 to 25 ants. Have you tried doing something similar.

The comparison by division is called a ratio. I will explain this in more detail

Ratio:- We compare the two quantities in terms or 'how many times' . This comparison is known as Ratio. We generally separate the two numbers in the ratio with a colon (:). Two quantities can be compared only if they are of the same unit.

Ratios means pairs of numbers and they are used to formulate comparisons of numbers. A ratio can be used to compares two numbers using a fraction.

I will explain this with the help of an example below.

Example:-

John's age is 25 years and his father's age is 75 years, how many times John's age is of his father's age?

Solution:-

By looking at the question, we understand that John's age is three times to his father's age. This can be written in the form of ratio, look below

The ratio of the father's age to John's age=75/25
=3/1
=3:1

Therefore the ratio of father's age to John is 3:1

I would like to give an exercise, find the ratio for your age and your mom or dad. This will help you better to understand ratio.

Now, lets learn to find out if the ratios are equal.

Are the ratios 3 to 4 and 6:8 equal?
The ratios are equal if 3/4 = 6/8.
These are equal if their cross products are equal, that is, (if the products are equal) 3 × 8 = 4 × 6.

Since both of these products equal 24, the answer is yes, the ratios are equal.

Now, i have cleared what is ratio and to find out if the ratios are equal right, in my next post i will give you information on Proportion. Did you find this post interesting and did you learn something in this? Let me know about your views