math help

What is 91/6 + 6/11?

What is 91/6 + 6/11?

This is how you add

91
6
+
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 91 by 11, and get 1001, then we multiply 6 by 11 and get 66.

91/6 times 11

Do the same for the second term. We multiply 6 by 6, and get 36, then multiply 6 by 11 and get 66.

6/11 times 6

The problem now has new fractions to add:

1001
66
+
36
66

Step 2

Since our denominators match, we can add the numerators.

1001 + 36 = 1037

This yields the answer

1037
66

Step 3

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

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

No good. 67 is larger than 66. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 6/11

91
6
+
6
11
=
1037
66
© 2014 Randy Tayler