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To add "mixed numbers' together they need first to be converted to 'improper fractions'. In this case two and two thirds = 8/3 and one and one eighth = 9/8 To add fractions together the denominators must be the same. This is done by finding the least common multiple of the two (or more) numbers below the divisor line. The least common multiple of 3 and 8 is 24 Now we must multiply the top and bottom of each fraction by whatever will make the bottom equal to 24. So we get 8/3 x 8/8 = 64/24 And then we get 9/8 x 3/3 = 27/24 Now we can add the two top numbers together and we get 64 + 27 = 91. The numbers believe the divisor lines are not added. The end result of the addition is 91/24. This is then converted to a mixed number by dividing 91 by 24 and this gives us 4 with a remainder of 7.... so the whole sum reduces to four and seven-twentyfourths. 4 + 7/24

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