math help

What is 9/16 + 8/10?

What is 9/16 + 8/10?

Let's add

9
16
+
8
10

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 9 by 10, and get 90, then we multiply 16 by 10 and get 160.

9/16 times 10

Now for the second term. You multiply 8 by 16, and get 128, then multiply 16 by 10 and get 160.

8/10 times 16

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

90
160
+
128
160

Step 2

Since our denominators match, we can add the numerators.

90 + 128 = 218

Answer:

218
160

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:

218
160
÷ 2 =
109
80

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...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

No good. 83 is larger than 80. So we're done reducing.

Congratulations! Here's your final answer to 9/16 + 8/10

9
16
+
8
10
=
109
80
© 2014 Randy Tayler