math help

What is 64/17 + 1/2?

What is 64/17 + 1/2?

Here's how to add

64
17
+
1
2

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 2, and get 128, then we multiply 17 by 2 and get 34.

64/17 times 2

Do the same for the second term. We multiply 1 by 17, and get 17, then multiply 17 by 2 and get 34.

1/2 times 17

So now our fractions look like this:

128
34
+
17
34

Step 2

Since our denominators match, we can add the numerators.

128 + 17 = 145

Now we have an answer.

145
34

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! 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...

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

There you have it! Here's the final answer to 64/17 + 1/2

64
17
+
1
2
=
145
34
© 2014 Randy Tayler