math help

What is 22/60 + 1/8?

What is 22/60 + 1/8?

Here's how to add

22
60
+
1
8

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 22 by 8, and get 176, then we multiply 60 by 8 and get 480.

22/60 times 8

Now for the second term. You multiply 1 by 60, and get 60, then multiply 60 by 8 and get 480.

1/8 times 60

We now have a new problem, that looks like this:

176
480
+
60
480

Step 2

Since our denominators match, we can add the numerators.

176 + 60 = 236

Answer:

236
480

Step 3

Now, do we need to simplify this fraction?

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

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

236
480
÷ 2 =
118
240

Now, try the same number again.

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

118
240
÷ 2 =
59
120

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...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 59. So we're done reducing.

Congratulations! Here's your final answer to 22/60 + 1/8

22
60
+
1
8
=
59
120
© 2014 Randy Tayler