Here's how we add


Step 1We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator. Now we multiply 4 by 10, and get 40, then we multiply 7 by 10 and get 70. Now for the second term. You multiply 4 by 7, and get 28, then multiply 7 by 10 and get 70. This gives us a new problem that looks like so:


Step 2Since our denominators match, we can add the numerators. 40 + 28 = 68 That gives us an answer of


Step 3Can this fraction be reduced? First, we attempt to divide it by 2... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. Nope. Try the next prime number, 3... Nope. Try the next prime number, 5... Nope. Try the next prime number, 7... Nope. Try the next prime number, 11... Nope. Try the next prime number, 13... Nope. Try the next prime number, 17... Nope. Try the next prime number, 19... Nope. Try the next prime number, 23... Nope. Try the next prime number, 29... Nope. Try the next prime number, 31... Nope. Try the next prime number, 37... No good. 37 is larger than 34. So we're done reducing. Congratulations! Here's your final answer to 4/7 + 4/10
