Fractions and percent space the two terms offered interchangeably come compare and describe the dimension of quantities. Converting fountain to percent and vice versa may seem complicated to some students yet is simply a an easy two-step process. Before we can the switch process, let take it a rapid recap of what a portion and a percent are.

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A percentage is a way of denote a part out of 100. The is a ratio whose denominator is 100. Percent is stood for by the percent sign (%). The term percent originates native a Latin native –per centum which way by a hundred.

Example of percent include: 4%, 10%, 100% etc.

A fraction is defined as a section of a entirety quantity. A fraction simply represents the variety of parts that a certain number divide a totality number. A simple portion is composed of two components namely the numerator, which is the number at the top, and also the denominator gift the number in ~ the bottom. The slash line typically separates the numerator and the denominator. Examples of fountain include: 2/5, 1/3, 4/9 etc.

How to convert a portion to Percent?

To convert portion to a percent, you only need to follow the two simple steps below:

First, convert the given fraction into a decimal. Use long division method to divide the numerator by the denominatorMultiply the resultant decimal by 100.It need to be noted the result is written complied with by the percentage sign (%) behind.

In bespeak to understand the procedure well, let’s deal with a couple of examples by using the above steps.

Example 1

Convert 3/4 to a percent.

Explanation

Begin by convert the portion 3/4 right into decimal.Divide the numerator by the denominator: 3 ÷ 4 = 0.75Multiply the decimal through 100 and write the an outcome with the portion sign: 0.75 × 100 = 75%.Therefore, 3/4 = 75%

Example 2

Convert 3/16 to per cent.

Explanation

Convert 3/16 right into decimal by dividing the molecule by the denominator3 ÷ 16 = 0.1875Now main point the decimal number by 100 and write the an outcome followed by portion symbol (%): 0.1875 × 100 = 18.75%Therefore, 3/16 = 75 %

Other examples of switch of fractions to percent are:

3/25 = (0.12 × 100) % = 12 %4/5 = (0.8 × 100) % = 80 %3/4 = (0.75 × 100) % = 75 %2/3 = (2/3 × 100) % = 0.67 %1 = (1 × 100) % = 100 %

How to transform Percent come fraction?

Conversion the percent to fraction is another straight front operation. Friend only must follow the actions outlined listed below in this article:

Remove the portion sign (%) from the given number.Write the number together the numerator and also 100 together the denominatorSimplify the fraction, if possible, in its lowest terms.

Let’s likewise solves some examples by using the steps:

Example 3

Convert 13% to fraction.

Explanation

Remove the portion sign (%) and also divide the number by 100.13% = 13÷100 = 13/100This cannot be simplified and also so, the answer is 13/100

Example 4

Convert 2.5% to a fraction.

Explanation

Remove the percentage sign (%).In this case, the offered percentage is a decimal number. We simply use the same steps but now count variety of decimal places and also multiply by 100 in strength of 10.5 has 1 decimal place, because of this the strength of 10 will be 10 1.Take the number as a entirety number and also divide through the product the 100 and 10 1.

= 25/ (100 x 101) = 25/1000

The portion can it is in simplified into the shortest terms; 25/1000 = 1/ 40.Therefore, 2.5% = 1/40

Example 5

Convert 0.005% to fraction.

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Explanation

Remove the portion sign (%)Count the number of decimal areas in the number. In this case, 0.005 has actually 3 decimal places.Write the number as a whole number and divide by the product of 100 and 103.

= 5/ (100 x 10 3)

= 5/100000

Reduce the fraction: 5/100000 = 1/20000Therefore, 0.005% = 1/20000

Other examples of conversion of percent to fraction:

62 % = 62/100 = 31/5030 % = 30/100 = 3/100.5 % = 5/10 % = 5/10 × 1/100 = 1/20030.2% = 322/10 % = 322/10 × 1/100 = 322/1000 = 151/5000.4 % = 4/10 % = 4/10 × 1/100 = 4/1000 = 1/25032/5% = 17/5 % = 17/5 × 1/100 = 17/5002/5 % = 2/5 × 1/100 = 1/250162/3 % = 50/3 % = 50/3 × 1/100 = 50/300 = 1/6

 

Practice Questions

Convert each of the following percent to fraction48 %32/5 %150 %0.04 %2¾ %Convert the adhering to fractions come percent:4/2523/2027/10017/50041/800