Respuesta :

Answer:

10 4/12 or 10 1/3

Step-by-step explanation:

First I added the fractions. since they have a common denominator you can add them together easily. 11+5=16 then you will have a improper fraction which would be 16/12 so if you turn it to a proper fraction it would be 1 and 4/12 so then you add the 5+4 and get 9 and then add nine and 1 and 4/12 which is 10 4/12. This fraction can be simplyfied so I divided the 4/12 by 3 and got the fraction in its simpiliest form which is 10 and 1/3.

Mixed number are the combination of whole number and the fraction number. The way to represent the whole and a part of a number combined as a whole number and the fraction number is a known as mixed number. The sum of the given mixed number is,

[tex]5\dfrac{5}{12} +4\dfrac{11}{12}=10\dfrac{1}{3}[/tex]

What is mixed number?

Mixed number are the combination of whole number and the fraction number. The way to represent the whole and a part of a number combined as a whole number and the fraction number is a known as mixed number.

For example the number 2 and half can be written as,

[tex]2+\dfrac{1}{2} =2\dfrac{1}{2}[/tex]

Given-

The given numbers in the problem are mixed numbers. Let the sum of the given mixed numbers is x. Thus,

[tex]x=5\dfrac{5}{12} +4\dfrac{11}{12}[/tex]

To solve the above equation we have to convert this mixed number in the fraction number and as fraction number by multiplying the denominator with whole number and then add the numerator with the result. thus,

[tex]x=\dfrac{60+5}{12} +\dfrac{48+11}{12}[/tex]

[tex]x=\dfrac{65}{12} +\dfrac{59}{12}[/tex]

As the denominator is same the the LCM of the two number is 12. Thus ,

[tex]x=\dfrac{65+59}{12}[/tex]

[tex]x=\dfrac{124}{12}[/tex]

[tex]x=\dfrac{31}{3}[/tex]

[tex]x=10\dfrac{1}{3}[/tex]

Hence the sum of the given mixed number is,

[tex]5\dfrac{5}{12} +4\dfrac{11}{12}=10\dfrac{1}{3}[/tex]

Learn more about the mixed number here;

https://brainly.com/question/2639375

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