math help

What is 45/4 + 2/7?

What is 45/4 + 2/7?

This is how you add

45
4
+
2
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 2 by 4, and get 8, then multiply 4 by 7 and get 28.

2/7 times 4

The problem now has new fractions to add:

315
28
+
8
28

Step 2

Since our denominators match, we can add the numerators.

315 + 8 = 323

This yields the answer

323
28

Step 3

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

To find out, we try dividing 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...

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

Congratulations! Here's your final answer to 45/4 + 2/7

45
4
+
2
7
=
323
28
© 2014 Randy Tayler