Fraction calculator The longest markings will be the quarter inch markings, ie. the first marking is 1/4 inch, the second is 1/2 (2/4) inch, the third is 3/4 inch. Calculate 3/4 by long division of 3 divided by 4:. Inch fractions to the 1/64 of an inch and the equivalent decimal values in inches and metric values in millimeters. Don't just use this fraction calculator to race through your homework! Solve the problems on your own, and use the calculator to check your work or see how to work a problem you don't understand. This fraction calculator is a useful tool, but it's not a substitute for a powerful mathematical mind! There's a good likelihood that the resulting fraction is improper or could be reduced. You should always reduce your answer and put it in proper form. Again, if you need help with this, try a fraction multiplication problem using the fraction calculator on this page and it will show you an example. This fraction calculator will always simplify fractions in the answer. Find the greatest common factor and all factors for a set of numbers. The calculator shows the steps to find the greatest common factor so you can show your work. Convert from inches to metric or imperial measurements or centimeters to inches. You May Find These Other Construction Calculators Helpful. 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. for example. To convert this fraction into a decimal, first convert it into the fraction. When multiplying fractions, the fraction calculator displayed some mixed fractions inconsistently. 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. If you are simplifying large fractions by hand you can use the Long Division with Remainders Calculator to find whole number and remainder values. 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
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. This fraction calculator will automatically simplify results. If you need to simplify fractions, this fraction calculator can do the work for you by entering a regular fraction, mixed fraction or improper fraction then multiply the value by one. The fraction calculator will simply the answer for you. For example, if you enter 4/32 x 1 in the fraction calculator, the simplified product is 1/8. The next longest markings will be the eighth-inch markings, ie. the first marking is 1/8 inch, the second is 3/8 inch, the third is 5/8 inch, etc., the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division. This calculator performs the reducing calculation faster than other calculators you might find. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions which can be found on The Math Forum. When we learn the basic math operations, we start by dealing with the operations on integers. But the world is full of partial amounts of things. A half cup of sugar in a recipe or six tenths of amile or a quarter dollar. All of these represent a portion of a whole, and that's exactly what a fraction is. We deal with partial amounts every day, so these ideas are familiar even if the way we have to work with them in math at first seems a little intimidating. Don't worry! We'll make it easy! If you start with two fractions with different denominators, you need to find the least common denominator. This is the smallest denominator that will work to make equivalent fractions for each of the fractions you are attempting to add. For example, if we were trying to add 3/16 and 1/8, we could turn the 1/8 into the equivalent fraction 2/16. Now we are adding 3/16 and 2/16 which equals 5/16. Sometimes working with fractions in the steps you calculate a numerator larger than the denominator. This is called an "improper fraction." An example would be something like 9/8, which means 9 parts of a whole, where each whole is divided into eight parts. If the devisor is telling us a whole is divided into eight parts, if we have nine parts we have enough for a complete whole with one part left over. So this means 9/8 is the same as one whole plus one part, or the mixed fraction 1/8. Observe the step by step solution and various answers. This faction calculator handles mixed fractions for all operations and will return the result in simplest form. When the fraction calculator deals with mixed fractions, the procedure is almost always easier if the whole number is multipied by the denominator and added to the numerator to create an improper fraction. This conversion from mixed numbers to improper fractions allows fraction problems to be treated just as though the whole numbers were not involved. I received some outstanding advice from my friend Maria Miller on the preview portion of the fraction calculator. The previews for adding fractions and subtracting fractions now show small mixed fractions with the wholes component as diagrams instead of numbers. For multiplying fractions, the first multiplicand is shown as a numeric mixed fraction to reinforce
multiplicand is shown as a numeric mixed fraction to reinforce the idea that the second fraction is repeated. Similarly, for dividing fractions, the fraction calculator shows the divisor is shown as a mixed fraction to reinforce the idea of the dividend being split up that many times to yield the quotient. Divide the answer's numerator and denominator by the GCD to get the simplified solution. Colon: and slash / is the symbol of division. Can be used to divide mixed numbers. Prime Factorization Calculator Factoring Calculator Percentage Calculator Fraction Calculator Multiplication Calculator Age Calculator Long Division Calculator Roman Numeral Converter Countdown Timer. The fraction calculator does this internally to solve mixed fraction problems. Modified loading of JavaScript files so that the fraction calculator executes earlier on the page, making the calculator appear earlier during the page load. You're Ready for Fractions with Our Online Fraction Calculator. This error is displayed when the numerator or denominator has any of the following conditions:. Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are: Multiply the left and right fractions by a factor so each of the fractions have the LCM as the denominator. Next, to get the numerator for the answer, multiply the two numerators of the fractions you are starting with. To get the denominator, do the same thing, multiply the two denominators and write the result as the denominator in the answer fraction. If the fraction is mixed, the steps to convert to an improper fraction are displayed. Shows the computed Least Common Multiple. This is the smallest number in which both fractions will evenly divide. The lower or bottom portion of the fraction. This is restricted to integer values. Mixed fractions represent some number of wholes, as well as a fractional part. Three and a half cups of sugar would be an example of something that you would represent with a mixed fraction. 2) The field contains a string which not an integer value. reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22. mixed numerals (mixed fractions or mixed numbers) can be entered as non-zero integer separated by one space and fraction, i.e. Shows the numerator and denominator being divided by the GCD to reduce the fraction. When we learn the basic math operations, we start by dealing with the operations on integers. But the world is full of partial amounts of things. A half cup of sugar in a recipe or six tenths of amile or a quarter dollar. All of these represent a portion of a whole, and that's exactly what a fraction is. We deal with partial amounts every day, so these ideas are familiar even if the way we have to work with them in math at first seems a little intimidating. Don't worry! We'll make it easy! Next, to get the numerator for the answer, multiply the two numerators of the fractions you are starting with. To get the denominator, do the same thing, multiply the two denominators and write the result as the denominator in the answer fraction. When multiplying fractions, the fraction calculator displayed some mixed fractions inconsistently. If you wish to save the fraction
fractions inconsistently. If you wish to save the fraction calculator showing the problem you're working on, the "Share this Calculation" link can be copied and pasted into an email, your browser bookmarks or a web page. It will return to the fraction calculator and show the problem exactly as you see it. This faction calculator handles mixed fractions for all operations and will return the result in simplest form. When the fraction calculator deals with mixed fractions, the procedure is almost always easier if the whole number is multipied by the denominator and added to the numerator to create an improper fraction. This conversion from mixed numbers to improper fractions allows fraction problems to be treated just as though the whole numbers were not involved. Mixed fractions represent some number of wholes, as well as a fractional part. Three and a half cups of sugar would be an example of something that you would represent with a mixed fraction. There's a good likelihood that the resulting fraction is improper or could be reduced. You should always reduce your answer and put it in proper form. Again, if you need help with this, try a fraction multiplication problem using the fraction calculator on this page and it will show you an example. This fraction calculator will always simplify fractions in the answer.. Wyzant Resources features blogs, videos, lessons, and more about Algebra and over 250 other subjects. Stop struggling and start learning today with thousands of free resources! Oops I did it again!! Living Environment, US and Global History, Algebra Core. You're Ready for Fractions with Our Online Fraction Calculator. If this still seems a bit fuzzy, here's another great description of fraction concepts with a few illustrations. This work is licensed under a Creative Commons Attribution- ShareAlike 2.5 Canada License. Eugene wrote a riddle: A positive number is 5 less than another positive number. Six times the lesser number minus 3 times the greater number is 3. Find the two positive numbers. When you're ready for more, try out the fractions worksheets below for practice and share this fraction calculator with your friends!. Just like with addition, if you are starting with a mixed fraction, you may need to convert the fraction to improper form to subtract the numerators. This is the reverse of the procedure we used to create proper fractions. To create an improper fraction, multiply the wholes by the denominator and add it to the numerator value. So 1 and 1/8 is the same as one whole plus one part, or eight parts plus one part, or a total of nine parts. So the proper mixed fraction 1 1/8 as an improper fraction is 9/8. This page has given a very brief overview of fractions, and provided a number of examples that you can try in the fraction calculator. We covered adding fractions, subtracting fractions, multiplying fractions and dividing fractions, plus how to create a proper fraction from an improper fraction (and vice-versa), reducing fractions, finding a least common denominator, plus how take a reciprocal of a fraction. You've seen how to use the fraction calculator to simplify improper fractions, and how to use the fraction calculator to reduce fractions. You can try all of these concepts in the fraction calculator, study the results and you'll find you're a fraction rock star in no time! This is a free calculator for
a fraction rock star in no time! This is a free calculator for adding, subtracting, multiplying, and dividing two fractions and/or mixed numbers. It is very simple to use! This calculator takes whole numbers, mixed numbers, or fractions entered as the following examples suggest:. Corrected mal-formed HTML in the fraction calculator instructions4. You can find more about common denominators in general at WikiPedia but this link provides another good description of actually finding least common denominators at Quick and Dirty Tips. When you're done, you can copy the URL shown here to save this calculation exactly as you see it, then share it with a friend or student!. Multiplying fractions is in some ways less complicated than adding or subtracting fractions because you don't need a common denominator. However, a good first step is to see if the one or both of the fractions being multiplied can be reduced. This will make the calculations a little easier.