math help

What is 96/2 + 1/11?

What is 96/2 + 1/11?

Here's how you add

96
2
+
1
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 96 by 11, and get 1056, then we multiply 2 by 11 and get 22.

96/2 times 11

Do the same for the second term. We multiply 1 by 2, and get 2, then multiply 2 by 11 and get 22.

1/11 times 2

The problem now has new fractions to add:

1056
22
+
2
22

Step 2

Since our denominators match, we can add the numerators.

1056 + 2 = 1058

The sum we get is

1058
22

Step 3

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

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

1058
22
÷ 2 =
529
11

So far so good... let's try to divide by that number again.

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. 13 is larger than 11. So we're done reducing.

And we're done! Here's the final answer to 96/2 + 1/11

96
2
+
1
11
=
529
11
© 2014 Randy Tayler