Answer:
To solve problem 1, we need to add the fractions 1/2 and 2/4. To do this, we need to first convert the fractions to have the same denominator. In this case, we can multiply the fraction 1/2 by 2/2 to get 2/4. We can then add the two fractions, 2/4 and 2/4, to get 4/4, which can be simplified to 1. So, the answer to problem 1 is 1 + 1 = 2.
To solve problem 2, we can use the same strategy as in problem 1. First, we need to convert the fractions 4/7 and 6/5 to have a common denominator. We can do this by multiplying the fraction 4/7 by 5/5 to get 20/35, and multiplying the fraction 6/5 by 7/7 to get 42/35. We can then add the two fractions, 20/35 and 42/35, to get 62/35. To simplify this fraction, we can divide the numerator and denominator by the common factor of 7, which gives us 8/5. So, the answer to problem 2 is 4 + 8/5 = 4 + 1 2/5.
To solve problem 3, we can use the same strategy as in problem 1. First, we need to convert the fractions 2/5 and 2/6 to have a common denominator. We can do this by multiplying the fraction 2/5 by 6/6 to get 12/30, and multiplying the fraction 2/6 by 5/5 to get 10/30. We can then add the two fractions, 12/30 and 10/30, to get 22/30. To simplify this fraction, we can divide the numerator and denominator by the common factor of 2, which gives us 11/15. So, the answer to problem 3 is 4 + 11/15 = 4 4/15.
To solve problem 4, we can use the same strategy as in problem 1. First, we need to convert the fractions 7/7 and 1/3 to have a common denominator. We can do this by multiplying the fraction 7/7 by 3/3 to get 21/21, and multiplying the fraction 1/3 by 7/7 to get 7/21. We can then add the two fractions, 21/21 and 7/21, to get 28/21. To simplify this fraction, we can divide the numerator and denominator by the common factor of 7, which gives us 4/3. So, the answer to problem 4 is 3 + 4/3 = 3 1/3.
To solve problem 5, we can use the same strategy as in problem 1. First, we need to convert the fractions 4/6 and 7/8 to have a common denominator. We can do this by multiplying the fraction 4/6 by 8/8 to get 32/48, and multiplying the fraction 7/8 by 6/6 to get 42/48. We can then add the two fractions, 32/48 and 42/48, to get 74/48. To simplify this fraction, we can divide the numerator and denominator by the common factor of 2, which gives us 37/24. So, the answer to problem 5 is 1 + 37/24 = 1 1/24.
