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The below solved example with step by step work shows how to find what is 2 times 3/4 or 3/4 times 2 as a fraction. Solved Example: What to be found: 3/4 x 2 = ?step 2 Arrange the fractions in the product expression form as like the below: = 3/4 x 2 = (3 x 2)/(4 x 1) step 3 Check the numerator and denominator and cancel if anything cancelled each other: = (3 x 2)/(4 x 1) = 3/2 3/4 x 2= 3/2 Hence, 3/4 times 2 as a fraction equals to 3/2
So you want to divide your fraction 3/4 by your whole number 2, right? You're in the right place. In this simple walkthrough guide, we'll show you exactly what you need to do to divide any fraction by a whole number (it's super simple). Keep reading to find out! If you've ready any of our fraction walkthroughs before, you'll know we always kick the show off with a quick recap for the kids. The number above the dividing line is the numerator, and the number below the line is the denominator. Simple stuff but sometimes we can all get a little forgetful! To visualize the question we are trying to solve, let's put 3/4 and 2 side-by-side so it's easier to see: So here is the incredibly easy way to figure out what 3/4 divided by 2 is. All we need to do here is keep the numerator exactly the same (3) and multiple the denominator by the whole number: Can it possibly be that simply to divide a fraction by a whole number? Yup. I hate to disappoint you but this might be the easiest problem you've had to solve all day long! In some cases the new fraction we have after performing the calculation can be simplified down further to lower terms but, in this case, the fraction is already in its lowest form. You're done! You now know exactly how to calculate 3/4 divided by 2. Hopefully you understood the process and can use the same techniques to divide other fractions by whole numbers. Convert 3/4 divided by 2 to DecimalHere's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. Once you have your final fraction, just divide the numerator by the denominator to get your answer in decimal form: Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
Fraction Divided by Whole Number Calculator
In this article, we'll show you exactly how to calculate 3/4 of 2 so you can work out the fraction of any number quickly and easily! Let's get to the math!
Want to quickly learn or show students how to convert 3/4 of 2? Play this very quick and fun video now! You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well. Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: So now that we've converted 2 into a fraction, to work out the answer, we put the fraction 3/4 side by side with our new fraction, 2/1 so that we can multiply those two fractions. That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look: In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 6 and 4 is 2. We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms. 6/2 = 3 4/2 = 2 When we put that together, we can see that our complete answer is: The complete and simplified answer to the question what is 3/4 of 2 is: 1 1/2 Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills. Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
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Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator. Mixed Numbers CalculatorSimplify Fractions CalculatorDecimal to Fraction CalculatorFraction to Decimal CalculatorBig Number Fraction CalculatorUse this calculator if the numerators or denominators are very big integers.
 In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction of , the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Addition:Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.
This process can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.
An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers.
The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.
Subtraction:Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification.
Multiplication:Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification. Division:The process for dividing fractions is similar to that for multiplying fractions. In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply . When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction would therefore be . Refer to the equations below for clarification.
Simplification:It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. for example, is more cumbersome than . The calculator provided returns fraction inputs in both improper fraction form as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor. Converting between fractions and decimals:Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 101, the second 102, the third 103, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would make the fraction , which simplifies to , since the greatest common factor between the numerator and denominator is 2. Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction for example. To convert this fraction into a decimal, first convert it into the fraction of . Knowing that the first decimal place represents 10-1, can be converted to 0.5. If the fraction were instead , the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. Common Engineering Fraction to Decimal ConversionsIn engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below. |
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