math help

What is 24/5 + 1/7?

What is 24/5 + 1/7?

This is how you add

24
5
+
1
7

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 24 by 7, and get 168, then we multiply 5 by 7 and get 35.

24/5 times 7

Now for the second term. You multiply 1 by 5, and get 5, then multiply 5 by 7 and get 35.

1/7 times 5

This gives us a new problem that looks like so:

168
35
+
5
35

Step 2

Since our denominators match, we can add the numerators.

168 + 5 = 173

So what's the answer so far?

173
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 24/5 + 1/7

24
5
+
1
7
=
173
35
© 2014 Randy Tayler