Cross Reducing Fractions Math

Fun games for kids computation practice.

Cross reducing fractions math. Dividing a fractions by the greatest common factor will reduce a fraction into its lowest terms for example to reduce 4 12 we can divide 4 by 4 and 12 by 4 to get 1 3 that is what will calculator will do for you. Sat math test prep online crash course algebra geometry study guide review functions youtube duration. Other examples of fractions that can be further reduced include 3 12 16 20 8 24. Cross multiplication is a useful tool for solving problems especially proportions one fraction equated to another fraction.

Because of this we can cross cancel before we multiply. Wait no longer print the free multiplying fractions with cross cancelling worksheet and get started. Lesson 7 2 1 10 multiplying fractions with cross reducing. You can see from the picture below that these fractions are the same but is the simpler of the two fractions and is fully reduced.

Our answer keys take the hassle out of the tedious evaluation process. To simplify a fraction divide the top and bottom by the highest number that can divide into both numbers exactly. Let s use the same example as before. Notice that the 3 and the 9 both share a factor of 3 since 3 3 times 1 and 9 3 times 3.

One of the challenges when learning how to multiply fractions is dealing with very large products in the resulting numerator and denominator. Basically what you are doing is getting rid of the fractions by multiplying through by both fraction s denominators. Cross cancellation is really a special version of simplifying fractions. Add a twist to the practice of your students with the inclusion of the mixed number in these printable worksheets.

You can only take advantage of it when multiplying or dividing fractions. Simplifying or reducing fractions means to make the fraction as simple as possible. It s worth practicing simplifying fractions first in order to get a larger perspective and to get an appreciation for how it s useful. Why say four eighths 48 when we really mean half 12.

Simplifying before multiplying fractions. How to reduce fractions one way to reduce fractions is to find the greatest common factor of the numerator and the denominator. Reducing these numbers is often challenging but frequently cross cancelling a common factor in the original fractions can result in products that are significantly easier to reduce or my in fact already be the least common denominator in many instances. Recall that a fraction is reduced when you divide both the numerator and the denominator by a common factor.

Hit reduce et voila.