✔ 最佳答案
Lets start with some Vocabulary.
1)denominator-the number on the bottom of a fraction
2)numerator-the number on the top of a fraction
3)improper fraction-a fraction where the numerator is greater than the denominator
4)mixed number- a whole number and a fraction combined
Ok, here are some steps:
1)Ok so you want to turn them both into improper fractions. For the 8, you would turn it into 8/1 because 8/1 is equal to 8. Divide 8/1 and you'll see. Now for the 4 2/3. Multiply the denominator 3, by the whole number 4, and you'd get 12. Now add the 12 to the numerator 2, and you'd get 14. So now keep your original denominator 3.So 4 2/3 now becomes 14/3.
2) Now you have to find a common denominator for them. To do this, list each denominators multiples.
1: 1,2,3
3: 3,
3) Since you found a common denominator, 3, now you have to do the same to the numerator. So think, how did the 1 get to a 3? What was it multiplied by? So if you divide 1 by 3, you get 3. So now multiply the numerator by 3 and you'd get 24/3 for your new improper fraction. 14/3 already has a 3 so you just leave that fraction the way it is.
4) Now subtract your numerators 24 and 14 and you'd get 10. Still keep the 3 as yur denominator though. So you have 10/3 as your new improper fraction.
5) Now divide the 10 by 3 to put it back into a mixed number. An improper fraction is never in simplist form. Once you get a remainder, stop. So if you divide, you get 3 for your answer, 1 for your remainder, and 3 for your divisor. So with that being said, the 3 is the whole number, the 1 is the numerator, and the 3 is the denominator in your mixed number. So your answer is C. 3 1/3.