Add 3 5/7+7 1/2 . What is the sum?
To add 3 5/7 and 7 1/2, first convert the mixed numbers into improper fractions:
3 5/7 = (7*3 + 5)/7 = 22/7
7 1/2 = (2*7 + 1)/2 = 15/2
Now, add the fractions:
22/7 + 15/2
To add fractions, you need a common denominator. In this case, the common denominator is 2*7 = 14.
Rewrite both fractions with a denominator of 14:
22/7 = (22*2)/14 = 44/14
15/2 = (15*7)/14 = 105/14
Add the fractions:
44/14 + 105/14 = (44 + 105)/14 = 149/14
So, the sum is 149/14.
However, we can simplify this fraction:
149/14 = 10 9/14
Therefore, the sum is 10 9/14.