math help

What is 64/17 + 3/6?

What is 64/17 + 3/6?

This is how to add

64
17
 +
3
6

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 64 by 6, and get 384, then we multiply 17 by 6 and get 102.

64/17 times 6

Do the same for the second term. We multiply 3 by 17, and get 51, then multiply 17 by 6 and get 102.

3/6 times 17

The problem now has new fractions to add:

384
102
 +
51
102

Step 2

Since our denominators match, we can add the numerators.

384 + 51 = 435

This yields the answer

435
102

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

435
102
 ÷ 3 =
145
34

Let's try dividing by that again...

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...

No good. 37 is larger than 34. So we're done reducing.

There you have it! Here's the final answer to 64/17 + 3/6

64
17
 +
3
6
 =
145
34
© 2014 Randy Tayler

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