This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets. Not only can you shorten the individual fractions but, as we have seen, you can also intelligently shorten them crosswise.Welcome to the fractions worksheets page at where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Instead of making the numerator and denominator very large by multiplying them and then having to shorten these large numerators and denominators again at the end of the calculation, it makes a lot of sense to shorten before multiplying the fractions. Here, too, you can see the benefit of shortening beforehand. Now shorten the right numerator and left denominator by 7 Now shorten the left numerator and right denominator by 5 The following example shows the advantage of cross-shortening when multiplying fractions, i.e., shortening the numerator of one fraction with the denominator of the other fraction and vice versa.Įxample 2: Truncate crosswise before multiplication While the first calculation can partly only be solved with a pocket calculator, the second multiplication is much easier to calculate by shortening beforehand.Ĭross-shortening fractions before multiplying The following example shows the advantage of truncating the fractions involved in multiplication before multiplication.Įxample 1: Reduce individual fractions before multiplicationĪs you can see, we have saved ourselves a lot of work by shortening the two fractions before multiplication (the left fraction is shortened by 5 and the right fraction is shortened by 7). Truncate individual fractions before multiplying By the way, you can find out more on the subject of reduction on our overview page on fractions. In addition, when multiplying fractions, you can also shorten them "crosswise", i.e., shorten the numerator of one fraction with the denominator of the other fraction, as we would like to illustrate with the following examples. Meanwhile, the individual fractions involved in the multiplication can be shortened if necessary. Then we multiply whole numbers by fractions, multiply mixed fractions, and finally present you with a video on multiplying fractions.Ĭalculator ↑ Content ↑ How Do You Truncate Fractions Before Multiplication?Įarly shortening, i.e., shortening the fractions before multiplying all the numerators and all denominators, subsequently avoids complicated calculations with large numbers. In the following, we will show step by step with examples first how to cleverly shorten fractions before multiplying them, so that we can then comfortably continue calculating with numbers that are as small as possible. When multiplying fractions, only the numerators and the denominators have to be multiplied. The multiplication of fractions is therefore simpler than the addition of fractions or the subtraction of fractions: While you first have to calculate a common denominator for the addition and subtraction of fractions, this is not necessary for multiplication. In this example, the numerator was multiplied by the other numerator, and the denominator was multiplied by the other denominator. The result of multiplying fractions is the product of the fractions. Calculator ↑ Content ↑ How to Multiply Fractions?įractions are multiplied by multiplying all the numerators above the fraction bars and also by multiplying all the denominators below the fraction bars.
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