math help

What is 80/2 + 10/11?

What is 80/2 + 10/11?

Here's how you add

80
2
+
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 80 by 11, and get 880, then we multiply 2 by 11 and get 22.

80/2 times 11

Now for the second term. You multiply 10 by 2, and get 20, then multiply 2 by 11 and get 22.

10/11 times 2

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

880
22
+
20
22

Step 2

Since our denominators match, we can add the numerators.

880 + 20 = 900

That gives us the sum, which is

900
22

Step 3

Now, do we need to simplify this fraction?

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

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

900
22
÷ 2 =
450
11

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...

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

Congratulations! Here's your final answer to 80/2 + 10/11

80
2
+
10
11
=
450
11
© 2014 Randy Tayler

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