8/30/2023 0 Comments Change fractions to percentagesIt is often more useful to work with numbers in the form of decimals than fractions. It is possible to convert fractions to decimals by (i) converting the denominator to a power of ten, or (ii) by using equivalent fractions or (iii) by using division. Understanding that the place to the right of the decimal point is the tenths place makes it immediately clear that, for example, There is a 10-to-1 relationship between the value of any two adjacent places in a number.īy applying place value it is simple to convert from a decimal to fraction. Place value materials can be used to support students to develop conceptual links between fractions and decimals.įor example, the following representation shows both 1.43 and 1+ 4/10 + 3/100 Students need to develop some fraction-decimal relationships as benchmarks.ĭecimals are another way of writing fractions.īecause decimals are part of the base-ten place value system, the clearest connections between decimals and fractions occur where the denominator of a fraction is a power of ten:.Percentages are another way of writing hundredths.Decimals are another way of writing fractions.0.Decimals, fractions and percentages are closely related.Other examples of conversion of percent to fraction: Write the number as a whole number and divide by the product of 100 and 10 3.In this case, 0.005 has 3 decimal places. Count the number of decimal places in the number.The fraction can be simplified into the lowest terms 25/1000 = 1/ 40.Take the number as a whole number and divide by the product of 100 and 10 1.5 has 1 decimal place, therefore the power of 10 will be 10 1.We just use the same steps but now count number of decimal places and multiply by 100 in powers of 10. In this case, the given percentage is a decimal number.This cannot be simplified and so, the answer is 13/100.Remove the percentage sign (%) and divide the number by 100.Let’s also solves some examples by using the steps: Simplify the fraction, if possible, in its lowest terms.Write the number as the numerator and 100 as the denominator.Remove the percentage sign (%) from the given number.You only need to follow the steps outlined below in this article: Other examples of conversion of fractions to percent are:Ĭonversion of percent to fraction is another straight forward operation. Now multiply the decimal number by 100 and write the result followed by percentage symbol (%): 0.1875 × 100 = 18.75%.Convert 3/16 into decimal by dividing the numerator by the denominator.Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.Divide the numerator by the denominator: 3 ÷ 4 = 0.75.Begin by converting the fraction 3/4 into decimal. In order to understand the process well, let’s solve a few examples by applying the above steps. It should be noted the result is written followed by the percentage sign (%) behind.Use long division method to divide the numerator by the denominator First, convert the given fraction into a decimal.To convert fraction to a percent, you only need to follow the two simple steps below: Examples of fractions include: 2/5, 1/3, 4/9 etc. The slash line usually separates the numerator and the denominator. A simple fraction is composed of two parts namely the numerator, which is the number at the top, and the denominator being the number at the bottom. A fraction simply represents the number of parts of a certain number divide a whole number. The term percent originates from a Latin word – per centum which means by a hundred.Įxample of percent include: 4%, 10%, 100% etc.Ī fraction is defined as a portion of a whole quantity. Percent is represented by the percentage sign (%). Before we can the conversion process, let take a quick recap of what a fraction and a percent are.Ī percentage is a means of indicating a portion out of 100. Converting fractions to percent and vice versa may seem challenging to some students but is just a simple two-step process. Percentage Conversion – Conversion Method & Examplesįractions and percent are the two terms used interchangeably to compare and describe the size of quantities.
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