In this lesson, we are going to focus on adding and subtracting fractions. Let's start with an example: 3/5 plus 4/7. To add these two fractions, we need to find a common denominator. We can do this by multiplying the denominators, which gives us 35. Next, we multiply the numerators: 3 times 7 is 21. We also multiply 5 times 4, which is 20. Adding 21 and 20 gives us 41. So the answer is 41/35. Now let's try another example: 7/8 minus 2/9. Again, we need a common denominator. Multiplying 8 and 9 gives us 72. Next, we calculate 7 times 9, which is 63, and 8 times 2, which is 16. Subtracting 16 from 63 gives us 47. Since 47 is not divisible by 2 or 3, this is our final answer: 47/72. Now, what if we wanted to add or subtract three fractions instead of two? Let's say we have 3/4 plus 5/3 minus 7/2. In this case, all the denominators are different, so we need to find a common denominator. We can find the least common multiple (LCM) by listing the multiples of each denominator. The LCM for 2, 3, and 4 is 12. We can also use a larger multiple like 24, but we would need to simplify at the end. Since we know the LCM is 12, we can multiply each fraction to get a denominator of 12. For the first fraction, we multiply the numerator and denominator by 3 (3 times 4 is 12). For the second fraction, we use 4 (4 times 3 is 12). And for the third fraction, we use 6 (6 times 2 is 12). Now, the numerators become 9 (3 times 3), 20 (4 times 5), and 42 (7 times 6). We can now combine the numerators: 9 plus 20...