math help

What is 22/22 + 1/4?

What is 22/22 + 1/4?

Here's how to add

22
22
+
1
4

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 22 by 4, and get 88, then we multiply 22 by 4 and get 88.

22/22 times 4

Now for the second term. You multiply 1 by 22, and get 22, then multiply 22 by 4 and get 88.

1/4 times 22

This gives us a new problem that looks like so:

88
88
+
22
88

Step 2

Since our denominators match, we can add the numerators.

88 + 22 = 110

That gives us an answer of

110
88

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

110
88
÷ 2 =
55
44

Now, try the same number again.

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...

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

55
44
÷ 11 =
5
4

Now, try the same number again.

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

Congratulations! Here's your final answer to 22/22 + 1/4

22
22
+
1
4
=
5
4
© 2014 Randy Tayler