math help

What is 49/9 + 9/10?

What is 49/9 + 9/10?

Here's how to add

49
9
+
9
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 49 by 10, and get 490, then we multiply 9 by 10 and get 90.

49/9 times 10

Now for the second term. You multiply 9 by 9, and get 81, then multiply 9 by 10 and get 90.

9/10 times 9

This gives us a new problem that looks like so:

490
90
+
81
90

Step 2

Since our denominators match, we can add the numerators.

490 + 81 = 571

So what's the answer so far?

571
90

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...

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. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. So next you try the next prime number, which is 97...

No good. 97 is larger than 90. So we're done reducing.

And we're done! Here's the final answer to 49/9 + 9/10

49
9
+
9
10
=
571
90
© 2014 Randy Tayler