math help

What is 22/22 + 5/11?

What is 22/22 + 5/11?

Here's how we add

22
22
+
5
11

Step 1

Now we need to make our denominators match.

Since 11 is evenly divided by 22, we can multiply just one term to get a common denominator.

Multiply 5 by 2, and get 10, then we multiply 11 by 2 and get 22.

5/11 times 2

So now our fractions look like this:

22
22
+
10
22

Step 2

Since our denominators match, we can add the numerators.

22 + 10 = 32

Now we have an answer.

32
22

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

32
22
÷ 2 =
16
11

Let's try dividing by that again...

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...

No good. 13 is larger than 11. So we're done reducing.

There you have it! Here's the final answer to 22/22 + 5/11

22
22
+
5
11
=
16
11
© 2014 Randy Tayler