math help

What is 1/5 + 10/11?

What is 1/5 + 10/11?

This is how to add

1
5
+
10
11

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 1 by 11, and get 11, then we multiply 5 by 11 and get 55.

1/5 times 11

Now for the second term. You multiply 10 by 5, and get 50, then multiply 5 by 11 and get 55.

10/11 times 5

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

11
55
+
50
55

Step 2

Since our denominators match, we can add the numerators.

11 + 50 = 61

Answer:

61
55

Step 3

Now, do we need to simplify this fraction?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

No good. 59 is larger than 55. So we're done reducing.

There you have it! Here's the final answer to 1/5 + 10/11

1
5
+
10
11
=
61
55
© 2014 Randy Tayler

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