math help

What is 45/3 + 7/10?

What is 45/3 + 7/10?

This is how you add

45
3
+
7
10

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 10, and get 450, then we multiply 3 by 10 and get 30.

45/3 times 10

Now for the second term. You multiply 7 by 3, and get 21, then multiply 3 by 10 and get 30.

7/10 times 3

This gives us a new problem that looks like so:

450
30
+
21
30

Step 2

Since our denominators match, we can add the numerators.

450 + 21 = 471

That gives us an answer of

471
30

Step 3

Can this fraction be reduced?

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

No good. So next you try the next prime number, which is 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

471
30
÷ 3 =
157
10

So far so good... let's try to divide by that number again.

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 10. So we're done reducing.

And we're done! Here's the final answer to 45/3 + 7/10

45
3
+
7
10
=
157
10
© 2014 Randy Tayler