## How to multiply fractions with mixed numbers?In this article, we are going to discuss about the multiplication of fractions with mixed numbers. We will also discuss some frequently asked questions (FAQs) related to fractions and also related to mixed numbers. In starting, multiplication of fractions might look a little bit challenging, but once you know how to multiply fractions, you will be able to solve the problem without taking much time. So let's first see a brief description of fractions. ## What are fractions?Fractions are the number written in the form of p/q (such that q ≠ 0), where p is the numerator and q is the denominator. For example, 1/2, 3/7, 4/3, etc. A fraction indicates the part of a whole thing. As an instance, the fraction ¾ is read as three-fourth of a whole. Let's see the types of fractions. There are three types of fractions that are defined as follows -
5/2 = 2½, 17/6 = 2⅚, etc. Now, let's understand mixed numbers. ## What are Mixed numbers?Mixed numbers are mixed fractions that are one of the types of fractions. Mixed numbers or mixed fractions are the form of a fraction in which there is a combination of proper fraction and whole number. For example - 7/2 = 3½, 11/4 = 2¾, etc. Mixed fractions are represented with their remainder and quotient. As an instance, in 3½, 3 is the quotient, and 1 is the remainder. Let's see the conversion of an improper fraction into a mixed number or vice versa. ## Conversion of improper fraction into a mixed number (or mixed fraction)It is easy to convert an improper fraction into a mixed number. The steps are listed as follows -
As an instance, suppose we have to convert 5/2 into a mixed number. So, on dividing 5 by 2 we will get 2 as quotient and 1 as remainder. Therefore, 5/2 = 2½ ## Conversion of Mixed fraction into an improper fractionIt is also easy to convert a mixed number into an improper fraction. The steps are listed as follows -
As an instance, suppose we have to convert 3½ into an improper fraction. So, on multiplying 3 with 2 we will get 6. Then add it with numerator, i.e., 1, it will be 7. Therefore, 3½ = 7/2 Now, let's see the multiplication of fractions with mixed numbers. ## Multiplication of fractions with mixed numbersIf we require solving the mixed fraction problem, we have to change the mixed number to an improper fraction and multiply them as usual. For Example, if we have to multiply
For Now, we only have to multiply 5/3 and 17/5 together. After the multiplication, the answer is - (5/3) x (17/5) = 85/15 = 17/3 Now, let's see the multiplication of fractions and mixed numbers using some examples.
(1 and 2/5) = 7/5
(7/5) x (5/9) = 35/45 or 7/9.
(2 and ⅓) = 7/3
(7/3) x (2/5) = 14/15.
(5 and 3/20) = 7/3
(7/3) x (2/5) = 14/15. So, from the above examples, one can easily understand the multiplication of fractions with mixed numbers. Therefore, there are some steps required to perform the multiplication. Let's highlight those steps -
So, that's all about the multiplication of a fraction with mixed numbers. Now, let's solve some practice questions.
2⅓ = 7/3 Now, multiply both fractions, we will get 7/3 x 3/2 = 21/6 or, 7/2.
1⅓ = 4/3 On multiplying both, we will get 4/3 x 3/1 = 12/3 or, 4. So, that's all about the article. Hope this article is beneficial for you and provides you the sufficient information about fractions, mixed fractions, and multiplication between them. Next TopicWhat is a denominator |