math help

What is 1/16 + 6/11?

What is 1/16 + 6/11?

This is how to add

1
16
+
6
11

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 1 by 11, and get 11, then we multiply 16 by 11 and get 176.

1/16 times 11

Do the same for the second term. We multiply 6 by 16, and get 96, then multiply 16 by 11 and get 176.

6/11 times 16

The problem now has new fractions to add:

11
176
+
96
176

Step 2

Since our denominators match, we can add the numerators.

11 + 96 = 107

This yields the answer

107
176

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

No good. 109 is larger than 107. So we're done reducing.

Congratulations! Here's your final answer to 1/16 + 6/11

1
16
+
6
11
=
107
176
© 2014 Randy Tayler