math help

What is 45/4 + 6/7?

What is 45/4 + 6/7?

This is how to add

45
4
+
6
7

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

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

45/4 times 7

Do the same for the second term. We multiply 6 by 4, and get 24, then multiply 4 by 7 and get 28.

6/7 times 4

The problem now has new fractions to add:

315
28
+
24
28

Step 2

Since our denominators match, we can add the numerators.

315 + 24 = 339

The sum we get is

339
28

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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 45/4 + 6/7

45
4
+
6
7
=
339
28
© 2014 Randy Tayler