Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. When you multiply a mixed number by another mixed number the product is equal to the another mixed number. For exact same mixed number, when you multiply a mixed number by one number the product is equal to the mixed number.
Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. As it is the combination of two types of number thus it is known as mixed number.
Mixed number are used to count the whole and part of a thing together.
For example five and a half of a thing can be written as,
[tex]5+\dfrac{1}{2} =5\dfrac{1}{2}[/tex]
Now when a mixed number is multiplied by the another mixed number the product of both is a another mixed number.
For example let multiply 2 and a half with 3 and a half. The result is,
[tex]2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{7}{2} \times \dfrac{9}{2}[/tex]
[tex]2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{63}{4}[/tex]
[tex]2\dfrac{3}{2} \times3\dfrac{3}{2} =15\dfrac{3}{4}[/tex]
Thus when you multiply a mixed number by another mixed number the product is equal to the another mixed number.
If the product should be equal to the given mixed number thus it need to be multiplied by the one. Thus when you multiply a mixed number by one number the product is equal to the mixed number.
Learn more about the mixed number here;
https://brainly.com/question/2639375
