math help

What is 10/11 + 4/12?

What is 10/11 + 4/12?

This is how you add

10
11
 +
4
12

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 10 by 12, and get 120, then we multiply 11 by 12 and get 132.

10/11 times 12

Now for the second term. You multiply 4 by 11, and get 44, then multiply 11 by 12 and get 132.

4/12 times 11

This gives us a new problem that looks like so:

120
132
 +
44
132

Step 2

Since our denominators match, we can add the numerators.

120 + 44 = 164

So what's the answer so far?

164
132

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:

164
132
 ÷ 2 =
82
66

Now, try the same number again.

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

82
66
 ÷ 2 =
41
33

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...

No good. 37 is larger than 33. So we're done reducing.

Congratulations! Here's your final answer to 10/11 + 4/12

10
11
 +
4
12
 =
41
33
© 2014 Randy Tayler

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