math help

What is 45/4 + 1/7?

What is 45/4 + 1/7?

Let's add

45
4
+
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 45 by 7, and get 315, then we multiply 4 by 7 and get 28.

45/4 times 7

Now for the second term. You multiply 1 by 4, and get 4, then multiply 4 by 7 and get 28.

1/7 times 4

This gives us a new problem that looks like so:

315
28
+
4
28

Step 2

Since our denominators match, we can add the numerators.

315 + 4 = 319

That gives us an answer of

319
28

Step 3

Can this fraction be reduced?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

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

There you have it! Here's the final answer to 45/4 + 1/7

45
4
+
1
7
=
319
28
© 2014 Randy Tayler