Improve Your Speed And Accuracy With The Fraction Percentage Table

Calculating quickly and accurately is an important skill in many fields, and using a fraction percentage table can be a useful tool to help improve speed and accuracy. A fraction percentage table is a chart that lists fractions and their corresponding percentages. By looking up the fraction in the table, the percentage can be found quickly without having to perform any calculations. This can be especially useful for solving problems involving ratios and percentages, such as finding the percentage of a given number or converting a fraction or ratio to a percentage. With practice and dedication, anyone can improve their speed and accuracy.

This Story also Contains

1. Tricks To Memorise The Fraction Percentage Table
2. Applications Of Fraction Percentage Table
3. Solving Word Problems

To begin with, let’s understand the basic definitions of Fractions, Ratios and Percentages. Suppose a class has 50 students of whom 30 are boys and 20, girls. This information can be represented in following manner:

1. As Fraction

Number of boys = 30 out of 50 = (30/50) or 3/5

Number of girls = 20 out of 50 = 20/50 or 2/5

2. As Ratio

Ratio of number of boys to number of girls =

Number of Boys : Number of Girls = 3/5 : 2/5 = 3 : 2

3. As Percentage

Percentage of Boys: (3/5) X 100 = 60%

Percentage of Girls: (2/5) X 100 = 40%

After that short introduction to Fractions, Ratio and Percentages. let’s have a look at the Fraction to Percentage table:

Tricks To Memorise The Fraction Percentage Table

Here’s what you can do to remember it:

1. The percentage values of fractions 1/2, 1/3, 1/4, and 1/5 are straightforward and easy to remember.

2. There are pair fractions that can be remembered referring to the other one. For example, the values of 1/7 and 1/14, are 14.28% and 7.14%. Similarly, the percentage values of 1/8 and 1/12 are 12.5% and 8.33% and can be remembered. Same logic can be applied for memorising the percentage values of 1/6 and 1/16 , 1/9 and 1/11.

3. It is important to remember the table bidirectionally and not only unidirectionally.

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Applications Of Fraction Percentage Table

The Fraction Percentage Table can be very useful for performing mental maths calculations involving fractions and percentages. Here are a few ways you might use a Fraction Percentage Table in speed maths:

Converting Fractions To Percentages

If you know that 12.5% is equal to 1/8 , you can use this information to quickly convert fractions to percentages mentally. For example, in order to find the percentage equivalent of 3/8, we can multiply the percentage equivalent of 1/8 by 3 (as 1/8 X 3 = 3/8), i.e.12.5% X 3 = 37.5% and interestingly you can do all this in your head. This method can be applied for all the fractions.

Converting Percentages To Fractions

You can also use the Faction Percentage Table to quickly convert percentages to fractions. For example, if you need to calculate what a 25 per cent discount on MRP of Rs 1,600 is, you can refer to 25% from the table and see that it is equivalent to 1/4. Now all you need to do is calculate one fourth of 1600 which is 400. The final price would be Rs 1,200.

Simplifying Calculations

The Fraction Percentage Table can help you simplify complex calculations involving fractions and percentages. For example, if you need to calculate the final price of an item after applying a series of discounts (successive increase or decrease), you refer to the table to convert the discounts to fractions and then multiply them together to find the total discount.

For example, during a festival season a shopkeeper offers a discount of 40 per cent on top of 50 per cent (50 per cent + 40 per cent). This is a famous gimmick used by marketers to attract customers. At first glance, this may look like that you are getting a discount of 90% but that is not the case. Let’s understand this.

1st discount is 50% = 1/2 in fractions

2nd discount is 40% = 2/5 in fractions

Now the final price after discount will be

= (1/2) X (2/5) X 1500

= Rs 300

Also, it is evident via the calculations that total discount is Rs 1,200 out of Rs 1,500, which is,

= 1200/1500

= 4/5 = 4 X 20% = 80%

This method can be applied to various cases where successive increase and decrease are taking place such as calculating the compound interest in the provident fund account or change in population of a certain area if yearly percentage change is given.

Solving Word Problems

Here's an example of how you might use a Fraction Percentage Table to solve a word problem:

Suppose you are asked to find what fraction of a number is equal to a certain percentage. For example: "If 25% of a number is 5, what is the number?"

To solve this problem, you can refer to the Fraction Percentage Table; 25% = 1/4 . Now, if 1/4 i.e. 1 out of 4 parts of a number, is 5 then in your head you can calculate the final number as 20.

The Fraction Percentage Table can be especially useful in situations in day-to-day life where you need to perform calculations involving percentages. It can save you time and effort, and help you avoid mistakes that could result from manual calculations. It's a simple tool that can make a big difference in your ability to perform calculations efficiently and accurately.

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