math help

What is 57/7 + 3/4?

What is 57/7 + 3/4?

Let's add

57
7
+
3
4

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 57 by 4, and get 228, then we multiply 7 by 4 and get 28.

57/7 times 4

Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 4 and get 28.

3/4 times 7

We now have a new problem, that looks like this:

228
28
+
21
28

Step 2

Since our denominators match, we can add the numerators.

228 + 21 = 249

That gives us the sum, which is

249
28

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. 29 is larger than 28. So we're done reducing.

And we're done! Here's the final answer to 57/7 + 3/4

57
7
+
3
4
=
249
28
© 2014 Randy Tayler