Answer:
25 16/21
Explanation:
To solve this problem, you need to find the lowest common denominator, which is the lowest amount you multiply two numbers to in order to make them equal.
The multiples of 7 are 7, 14, 21, 28, 35
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21
You can see that the lowest multiple that both numbers have in common is 21, so that is what we'll use. The next step is to multiply both fractions to reach the lowest common denominator. This is as simple as finding which number to multiply the denominator by to get 21, and then multiplying the numerator by that as well. We do not need to change the mixed number (the 10 and 15) because they stay the same.
21 is the third multiple of 7, so we multiply both sides of the fraction by 3.
3*3 = 9, 7*3 = 21. New fraction: 9/21
21 is the seventh multiple of 3, so we multiply both sides of the fraction by 7.
1*7 = 7, 3*7 = 21. New fraction: 7/21
Now, since both fractions have the same denominator, we can just add them together to get 16/21. Since both fractions are mixed numbers, we also have to carry those over. Add both together to get 25, so your final answer is 25 16/21. This is the simplest form.