math help

What is 11/12 + 4/10?

What is 11/12 + 4/10?

This is how you add

11
12
 +
4
10

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 11 by 10, and get 110, then we multiply 12 by 10 and get 120.

11/12 times 10

Now for the second term. You multiply 4 by 12, and get 48, then multiply 12 by 10 and get 120.

4/10 times 12

This gives us a new problem that looks like so:

110
120
 +
48
120

Step 2

Since our denominators match, we can add the numerators.

110 + 48 = 158

So what's the answer so far?

158
120

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:

158
120
 ÷ 2 =
79
60

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 60. So we're done reducing.

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

11
12
 +
4
10
 =
79
60
© 2014 Randy Tayler

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