Ratio is one of the very often used topics in mathematics. Ratio is defined as the comparison between quantitates or numbers. The symbol for the representing ratio is “:”. Ratio helps in solving questions related to comparisons, proportions and many other word problems. For example, a / b can be written as a : b. Here a/b is fraction form and a:b is the ratio form. The ratio can be simplifies if a and b have any common factors.
Example 1: Fill in the blanks if the table below?
Solution: The table given have set of equivalent ratio.
The first ratio given is 6: 5.
The second ratio given is 12: 10. This can be obtained by the first ratio.
Write the ratio 6: 5 as a fraction (6/5) x (2/2) = 12/10.
In the third ratio 18 can be obtained by multiplying 6 x 3 = 18.
So multiplying the ratio 6: 5 by 3 gives (6/5) x (3/3) = 18/15.
Hence writing as a ratio = 18: 15.
Therefore the missing blank is 15.
Question: Multiple choice question (Pick the correct option.)
In the given table below the missing number in the ratio is?
a) 28 b) 16 c) 14 d) None of these.
Explanation: The table given have set of equivalent ratio.
The first ratio given is 4: 7 or 4/7.
In the third ratio 16 can be obtained by multiplying 4 x 4 = 16.
So multiplying the ratio 4: 7 by 4 gives (4/7) x (4/4) = 16/28.