math help

What is 6/19 + 1/11?

What is 6/19 + 1/11?

This is how you add

6
19
+
1
11

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 6 by 11, and get 66, then we multiply 19 by 11 and get 209.

6/19 times 11

Now for the second term. You multiply 1 by 19, and get 19, then multiply 19 by 11 and get 209.

1/11 times 19

This gives us a new problem that looks like so:

66
209
+
19
209

Step 2

Since our denominators match, we can add the numerators.

66 + 19 = 85

So what's the answer so far?

85
209

Step 3

Can this fraction be reduced?

First, we attempt to divide 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...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

No good. 89 is larger than 85. So we're done reducing.

Congratulations! Here's your final answer to 6/19 + 1/11

6
19
+
1
11
=
85
209
© 2014 Randy Tayler