math help

What is 55/55 + 3/11?

What is 55/55 + 3/11?

Here's how you add

55
55
+
3
11

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 11 is evenly divided by 55, we can multiply just one term to get a common denominator.

Multiply 3 by 5, and get 15, then we multiply 11 by 5 and get 55.

3/11 times 5

So now our fractions look like this:

55
55
+
15
55

Step 2

Since our denominators match, we can add the numerators.

55 + 15 = 70

Now we have an answer.

70
55

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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:

70
55
÷ 5 =
14
11

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

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

No good. 13 is larger than 11. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 3/11

55
55
+
3
11
=
14
11
© 2014 Randy Tayler