math help

What is 57/7 + 4/5?

What is 57/7 + 4/5?

This is how we add

57
7
+
4
5

Step 1

We 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 57 by 5, and get 285, then we multiply 7 by 5 and get 35.

57/7 times 5

Now for the second term. You multiply 4 by 7, and get 28, then multiply 7 by 5 and get 35.

4/5 times 7

This gives us a new problem that looks like so:

285
35
+
28
35

Step 2

Since our denominators match, we can add the numerators.

285 + 28 = 313

That gives us an answer of

313
35

Step 3

Can this fraction be reduced?

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

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 35. So we're done reducing.

Congratulations! Here's your final answer to 57/7 + 4/5

57
7
+
4
5
=
313
35
© 2014 Randy Tayler