![]() ![]() To convert a fraction to a decimal, we’ll just divide the numerator…by the denominator. To convert a fraction into a decimal, we’ll just divide the numerator… Let’s see how we can convert 1/4 into a decimal. ![]() To refresh your memory on this skill, you can review our Long Division lesson.Ĭlick through the slideshow to learn how to convert a fraction into a decimal. We’ll be using a math skill you’ve already learned: long division. For example, it’s easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first. You may not do this very often, but converting decimals and fractions can help you in math. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.Įvery fraction can also be written as a decimal, and vice versa. ![]() For example, it’s much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Sometimes it’s useful to convert one kind of number into another. Any time we see 1/2, we’ll know it can also mean 50% or 0.5. Since they’re expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. But we’ve expressed this amount in three ways: as a fraction, as a percent, and as a decimal. In this image, each measuring cup has the same amount of juice in it. They’re all just different ways of expressing parts of a whole. Fractions, decimals, and percents are like the words tiny, little, and small. All of these words mean the car is not big. For example, we could describe the same car as tiny or little or small. When we talk, we often use different words to express the same thing. 0./en/percents/percentages-in-real-life/content/.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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