math help

What is 45/4 + 5/8?

What is 45/4 + 5/8?

This is how to add

45
4
+
5
8

Step 1

We have to make sure the denominators are equal.

Since 4 is evenly divided by 8, we can multiply just one term to get a common denominator.

Multiply 45 by 2, and get 90, then we multiply 4 by 2 and get 8.

45/4 times 2

The problem now has new fractions to add:

90
8
+
5
8

Step 2

Since our denominators match, we can add the numerators.

90 + 5 = 95

The sum we get is

95
8

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. 11 is larger than 8. So we're done reducing.

And we're done! Here's the final answer to 45/4 + 5/8

45
4
+
5
8
=
95
8
© 2014 Randy Tayler