percent-to-decimal-or-fraction-conversion

Fractions to Percentage

Let’s convert 4/5 to a percentage. Percentage always has 100 as the base. So you need to find the number with which when we multiply 5 it will become 100. That number is 20. So multiply 20 in the denominator as well as the numerator. So the fraction will become 4 x 20/5 x 20 = 80/100 = 80%. So, 80% is your required answer.

Convert 12/25 into a percentage. In this question also you need to make the base as 100 first and then you can convert the given digits into a percentage. When you multiply 25 by 4 it becomes 100. So multiply 4 in the numerator as well as the denominator. This will become, 12 x 4/25 x 4 = 48/100 = 48%.

The below table shows the value of percentage when you convert it from the fraction. You can remember this table to solve any fractions related questions.

	1	2	3	4	5	6	7	8	9	10	11	12
1	100
2	50	100
3	33.33	66.66	100
4	25	50	75	100
5	20	40	60	80	100
6	16.66	33.33	50	66.66	83.33	100
7	14.28	28.57	42.85	57.14	71.42	85.71	100
8	12.5	25	37.5	50	62.5	75	87.5	100
9	11.11	22.22	33.33	44.44	55.55	66.66	77.77	88.88	100
10	10	20	30	40	50	60	70	80	90	100

What is the use of this table?

You will notice that the values given in the table are only percentage values. You can easily convert this values into decimals by shifting two places to the left. Thus, 66.66% = 0.6666 in decimal value. Another use of this table is that in the process of division by any number such as 2, 3, 4, 5, 6, 7, and so on, candidates normally face difficulty in calculating the decimal values of these divisions.

However, when you get used to the decimal values that are in the table, calculations will become a lot easier. For example, when you divide an integer by 7, the decimal values can only be 0.14, 0.28, 0.42, 0.57, 0.71, 0.85 , or 0.00.
This also denotes that the difference between two ratios like x/4 – x/5 is integral only when x is divisible by 4 as well as 5.

Solved Example

Q. What is the percentage value of the ratio 53/81?

In this question, to find the answer you need to remove all the 50%, 100%, 10%, 1%, and all such of the denominator from the numerator.

53/81 will be written as :

  (40.5 + 12.5)/81 = 40.5/81 + 12.5/81 = 50% + 12.5/81
= 50% + (8.1 + 4.4)/81 = 50% + 10% + 4.4/81
= 60% + 4.4/81

So, now we have established that answer is somewhere between 60 and 70 %. You need to find those remaining digits now. This can be found by calculating 4.4/81 through the normal process of multiplying the numerator by 100.

So, the % value of 4.4/81 = 4.4 x 100/ 81 = 440/81. 440/81 will be 5% with 35 as a remainder.
To find the remaining digits, add a zero to the remainder and divide it by 81. Here, that remainder is 35. It will become 350/81 = 4 with 26 as a remainder. Again repeat the process for 260/81 with 3 and remainder as 17. So the final answer will be 65.43.

Practice Questions

Q. What will be the percentage value of the ratio 223/72?

A. 308.5 %         B. 309.52 %         C. 309.72 %           D. 309.83 %

Ans: The correct answer is C.

Q. What will be the percentage value of the ratio of 53/14?

A. 378.57 %         B. 378.75 %         C. 380 %           D. 383 %

Ans: The correct answer is A.

 Q. Calculate 123 x 4.73.

A. 582.67         B. 582.5         C. 580           D. 581.79

Ans: The correct answer is D.