math help

What is 22/22 + 4/6?

What is 22/22 + 4/6?

Here's how you add

22
22
+
4
6

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 22 by 6, and get 132, then we multiply 22 by 6 and get 132.

22/22 times 6

Do the same for the second term. We multiply 4 by 22, and get 88, then multiply 22 by 6 and get 132.

4/6 times 22

The problem now has new fractions to add:

132
132
+
88
132

Step 2

Since our denominators match, we can add the numerators.

132 + 88 = 220

The sum we get is

220
132

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:

220
132
÷ 2 =
110
66

Let's try dividing by that again...

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

110
66
÷ 2 =
55
33

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...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

55
33
÷ 11 =
5
3

Let's try dividing by that again...

No good. 11 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 22/22 + 4/6

22
22
+
4
6
=
5
3
© 2014 Randy Tayler