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Multiplying fractions and mixed numbers

Updated: 4/28/2022
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12y ago

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can't do it as is... you must convert the mixed number to an improper fraction to multiply

To convert the mixed number to a fraction you multiply the denominator and the number in front and then add that to the numerator then you put that number over the original denominator

ex. 2 1/3 = (3 x 2 + 1)/3 =7/3

then you can multiply:

7/3 X 4/5 = 28/15

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Q: Multiplying fractions and mixed numbers
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Continue Learning about Algebra

How do you multiply mixed numbers by fractions?

Convert the mixed number to an improper fraction and proceed normally.


What is the definition of dividing fractions and mixed numbers?

The definition is the same as the definition of just about any division. Dividing by a number can be defined as multiplying by the reciprocal of the number. The reciprocal is the number which, when multiplied by a number, results in a product of 1. For example, dividing by 2 is defined as multiplying by 1/2 (since 2 x 1/2 = 1). Division can also be defined as finding a solution of an inverse multiplication problem. For example, 5 / 2 = x is equivalent to x times 2 = 5; thus, the division can be defined as finding a number that solves the multiplication. Although I didn't use mixed fractions in the above examples, the definitions are exactly the same for mixed numbers.


How do you multiply fractions with whole numbers and mixed numbers?

The question is ambiguous. Do you want to know how to multiply a fraction by a whole number, as well as by a mixed number? Or are you asking how to multiply a whole number by a mixed number and express the product as a fraction? Or what?


Multiplying integers with fractions?

Let's say that you were multiplying 10 by 2/5 , you would turn the 10 into 10/1 which is still equal to 10 then you multiply 10/1 and 2/5 by multiplying the numerators (the top numbers) and the denominators (the bottom numbers) 10*2/1*5 = 20/5 = 4


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.

Related questions

How is multiplying mixed numbers different than multiplying fractions?

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


Is there a trick to multiplying mixed numbers?

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


How is multiplying rational numbers like multiplying fractions and multiplying decimals?

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


When multiplying mixed numbers and fractions does changing the order of the factors change the product?

No. The commutative and associative laws are valid for any real numbers.


How to multiply mixed numbers?

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.


When multiplying two mixed numbers what do you do first?

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


How do you turn a mixed number into a proper fraction?

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).


How do you multipy mixed numbers by mixed numbers?

Change each mixed fraction to an improper fraction. Do this by multiplying the denominator by the whole number next to the fraction and then adding the numerator to the product you get. Once you do this, multiply fractions normally.


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.


How do you convert mixed fractions into whole numbers?

Mixed fractions can't become whole numbers.


When dividing fractions or mixed numbers?

what is dividing fractions and mixed numebers


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