math help

What is 20/17 + 6/8?

What is 20/17 + 6/8?

This is how you add

20
17
 +
6
8

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 20 by 8, and get 160, then we multiply 17 by 8 and get 136.

20/17 times 8

Now for the second term. You multiply 6 by 17, and get 102, then multiply 17 by 8 and get 136.

6/8 times 17

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

160
136
 +
102
136

Step 2

Since our denominators match, we can add the numerators.

160 + 102 = 262

Answer:

262
136

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:

262
136
 ÷ 2 =
131
68

Let's try dividing by that again...

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...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

No good. 71 is larger than 68. So we're done reducing.

There you have it! Here's the final answer to 20/17 + 6/8

20
17
 +
6
8
 =
131
68
© 2014 Randy Tayler

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