math help

What is 55/55 + 11/12?

What is 55/55 + 11/12?

Here's how to add

55
55
+
11
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 55 by 12, and get 660, then we multiply 55 by 12 and get 660.

55/55 times 12

Now for the second term. You multiply 11 by 55, and get 605, then multiply 55 by 12 and get 660.

11/12 times 55

This gives us a new problem that looks like so:

660
660
+
605
660

Step 2

Since our denominators match, we can add the numerators.

660 + 605 = 1265

So what's the answer so far?

1265
660

Step 3

Can this fraction be reduced?

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

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

1265
660
÷ 5 =
253
132

Now, try the same number again.

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:

253
132
÷ 11 =
23
12

Now, try the same number again.

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

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 11/12

55
55
+
11
12
=
23
12
© 2014 Randy Tayler

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