Respuesta :
Answer:
= 3 3
16
Step-by-step explanation:
17 ÷ 8
2 3
Second step : multiply
= 17 × 3
2 × 8
The answer will be 51
16
= 51
16
Simplifying 51/16 , the answer is
= 3 3
16
l hope it helps ❤❤
Mixed number is the combination of the whole number and the fraction number. The whole and the part of the whole combined can be expressed as a mixed numbers. the result of the division of the two mixed number is [tex]3\dfrac{3}{16}[/tex].
Given information;
The mixed numbers given is the problem are [tex]8\dfrac{1}{3} [/tex] and [tex]2\dfrac{2}{3} [/tex]
Mixed number
Mixed number is the combination of the whole number and the fraction number. The whole and the part of the whole combined can be expressed as a mixed numbers.
Now the given mixed number has to be divided. This number can be divided by converting into the proper fraction numbers. Let I is the result when the two numbers are divided. Thus,
[tex]x=8\dfrac{1}{2} \div 2\dfrac{2}{3} \\ [/tex]
To solve this convert the mixed numbers into the fraction number. For this multiply the denominator to the whole number and then add in the numerator. Thus,
[tex]x=\dfrac{16+1}{2} \div \dfrac{6+2}{3} \\ x=\dfrac{17}{2} \div \dfrac{8}{3} \\ [/tex]
Convert the divide sign into the multiply sign by changing the numerator to the denominator of one of the fraction.
[tex]x=\dfrac{17}{2}\times \dfrac{3}{8} \\ x=\dfrac{51}{16}\\[/tex]
As 16 can divide the number 51 in 3 times with reminder 3. Thus the mixed number for the above fraction can be written as,
[tex]x=3\dfrac{3}{16}[/tex]
Thus the result of the division of the two mixed number is [tex]3\dfrac{3}{16}[/tex].
Learn more about the mixed number here;
https://brainly.com/question/2639375
