math help

What is 64/17 + 3/4?

What is 64/17 + 3/4?

Here's how we add

64
17
+
3
4

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 64 by 4, and get 256, then we multiply 17 by 4 and get 68.

64/17 times 4

Do the same for the second term. We multiply 3 by 17, and get 51, then multiply 17 by 4 and get 68.

3/4 times 17

So now our fractions look like this:

256
68
+
51
68

Step 2

Since our denominators match, we can add the numerators.

256 + 51 = 307

So the answer is:

307
68

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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

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...

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

Congratulations! Here's your final answer to 64/17 + 3/4

64
17
+
3
4
=
307
68
© 2014 Randy Tayler