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

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

you have to turn them into improper fractions before you multiply them.

Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.

what is dividing fractions and mixed numebers

First you change them into improper fractions. Then you multiply the numerator and the denamanator straight across. ;)

did you get this off of big ideas learning

A mixed number can be converted into an improper fraction. Mixed numbers as improper fractions can be divided just like any other fraction. To convert a mixed number to an improper fraction multiply the whole number by the denominator and add the original numerator to give the new numerator and put this over the original denominator.

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

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.

you cant divide mixed numbers

Mixed numbers can be converted to improper fractions. Improper fractions can be added the same way proper fractions are.

No. All fractions are not whole numbers, but all whole numbers are [improper] fractions (with a denominator of 1).

Mixed numbers cannot be turned into proper fractions, but they can be made into improper fractions by multiplying the integer (# on the side) by the denominator (bottom), and then adding that number to the numerator (top).

It depends on the numbers. For example, dividing by 1 1/2 (one and a half) is exactly the same as dividing by 3/2, since both represent the same number.In general, if you divide by a larger number, the result will be less.

Because they can be expressed as fractions albeit improper fractions

no.

turn them into improper fractions

First change the mixed numbers into improper fractions by multiplying the denominator and the whole number and add the product to the numerator in the mixed numbers and then multiply the numerators and the denominators and divide the numerator by the denominator of the product.

In case of Proper fractions the numerator is lesser than the denominator. Whereas in case of improper fractions and mixed fractions the numerator is greater than denominator.

Convert them to improper fractions and proceed.

It helps with adding and multiplying fractions sometimes. Its simpler to multiply 3/7 x 9/7 than 1 2/7 x 3/7.

It the signs of the two numbers that you are multiplying or dividing is the same, then the answer is positive, otherwise the answer is negative. Remember though, that division by 0 is not defined.

You may not literally say "multiplied by a half" but multiplying and dividing by fractions are equivalents to doing the other function with an inverse number, most easily in that dividing by 2 is the same as multiplying by (1/2). We don't often multiply and divide by fractions because most of the time we can convert such a problem into a nicer one. We may use fractions like this, for example, in a test out of 90 marks where one must score 2/3 to pass. This pass mark is obtained by multiplying 90 by (2/3), though this, as said earlier, would usually, even unconsciously with such convenient numbers, be split into "divide by 3, then multiply by 2".

You cannot. They are two disjoint subsets of rational numbers.

For addition, subtraction, division and multiplication with other fractions

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