math help

What is 21/11 + 1/2?

What is 21/11 + 1/2?

Here's how to add

21
11
+
1
2

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 21 by 2, and get 42, then we multiply 11 by 2 and get 22.

21/11 times 2

Now for the second term. You multiply 1 by 11, and get 11, then multiply 11 by 2 and get 22.

1/2 times 11

We now have a new problem, that looks like this:

42
22
+
11
22

Step 2

Since our denominators match, we can add the numerators.

42 + 11 = 53

Answer:

53
22

Step 3

Now, do we need to simplify this fraction?

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. 23 is larger than 22. So we're done reducing.

And we're done! Here's the final answer to 21/11 + 1/2

21
11
+
1
2
=
53
22
© 2014 Randy Tayler