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Cancelling out common factors means you are working with smaller numbers. It is usually, but not always, beneficial.

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Q: Why is it beneficial to simplify before multiplying or dividing?
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When multiplying use fraction notification we form products in the numerator and the denominator but do not immediatily calculate the product?

That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.


What is cross canceling in dividing fractions?

Cross canceling is a way to simplify or reduce fractions before multiplying them. For example, 2/4 x 1/6 can be reduced to 1/4 x 1/3 by cross canceling.


When you multiply fractions why do you multiply the fractions strait across?

This has the effect of producing a denominator in the answer that has each of the original denominators as factors. You don't have to worry about simplifying the fractions before multiplying. Of course, you may have to simplify after multiplying. There's no way out.


Why do you think it is helpful to convert mixed numbers into fractions before multiplying or dividing?

So that you can get your answer more faster and you don't need to do a lot of work


Why would you want to factor each expression before multiplying or dividing 2 rational expressions?

In both cases, you may be able to cancel common factors, thus simplifying the expression.


What is the the benefit of dividing out greatest common factors before multiplying?

That process helps to simplify your multiplication. If you have a problem such as (27/18)*4, instead of computing 27*4 then dividing that by 18 and simplifying, there is a much easier way to do it. Divide both top and bottom by 9 to get (3/2)*4. Cancel the 2 in the denominator and the 4 that is being multiplied to get 3*2. The resulting answer is 6. Notice how there were no big computations to deal with. This helps especially if you are computing all these numbers by hand or in your head.


Why is it necessary to convert mixed fractions to improper fractions before multiplying or dividing?

Multiplying mixed fractions is very cumbersome and prone to errors. Therefore, it is prudent to convert them to improper fractions. Once that is done, you may simply find the product of all the numerators and divide that by the product of all the denominators. Then you convert back to a mixed number. And there are lots of tricks -- like "canceling out" -- that you can do to simplify the multiplication. Unfortunately, those techniques are very difficult to demonstrate here. It would not be even if it is not an improper fraction and that's why you have to convert


Can you simplify before you divide fractions?

no


Why do you change mixed numbers to improper fractions before multiplying and dividing?

Because common denominators allow adding and subtracting of numerators. Improper fractions also have simplified rules over mixed numbers when performing multiplication and division.


Can you name all the math equations?

No, it is literally impossible. An equations is a question with a series of numbers which communicate by dividing, subtracting, adding, or multiplying. If we have no end to these numbers, there is an endless wave of equations coming at us, using the new number, and the infinite number before it, and after it.


How is multiplying mixed numbers different than multiplying fractions?

if you have mixed numbers you make them into improper fractions before you multiply


When multiplying do you estimate before or after you get the answer?

When multiplying, it is always better to estimate before one gets the answer instead of after. This will allow a person to see if they are near the answer they are looking for so they know they're right.