SOLUTION: How to answer 4 6/8 + 3 2/3 = fifth grade

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Question 1020352: How to answer 4 6/8 + 3 2/3 = fifth grade
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

4+6%2F8 + 3+2%2F3 here you have to add to mixed numbers
first what you need is to covert them to improper fractions
4+6%2F8 as an improper fraction will be %284%2A8%2B6%29%2F8=38%2F8
and 3+2%2F3 will be %283%2A3%2B2%29%2F3=11%2F3
now add them
38%2F8+%2B11%2F3...since we have to add improper fractions with different denominators, we need to find common denominator, the number that is divisible by both 8 and 3, and that is 24
%2838%2A3%29%2F%288%2A3%29+%2B%2811%2A8%29%2F%283%2A8%29

114%2F24+%2B88%2F24...now we can add them

%28114+%2B88%29%2F24

202%2F24....now we can simplify it, divide both numerator and denominator by 2

101%2F12....this is your solution written as an improper fraction
you can also convert it into mixed number and it will be:85%2F12

or, you can do it this way (might be easier)
4+6%2F8 + 3+2%2F3 first, you can write mixed numbers like this:
4%2B+6%2F8 and 3%2B2%2F3...now add them

4%2B+6%2F8%2B3%2B2%2F3...

%284%2B3%29%2B+%286%2F8%2B2%2F3%29

7%2B+%28%286%2A3%29%2F%283%2A8%29%2B%282%2A8%29%2F%288%2A3%29%29

7%2B+%2818%2F24%2B16%2F24%29

7%2B+%2834%2F24%29...simplify

7%2B+%2817%2F12%29.........17=12%2B5, so we can write it

7%2B+%2812%2F12%2B5%2F12%29

7%2B+1%2B5%2F12%29

8%2B5%2F12%29 or 85%2F12%29