math help

What is 3/64 + 3/6?

What is 3/64 + 3/6?

This is how to add

3
64
 +
3
6

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 3 by 6, and get 18, then we multiply 64 by 6 and get 384.

3/64 times 6

Do the same for the second term. We multiply 3 by 64, and get 192, then multiply 64 by 6 and get 384.

3/6 times 64

So now our fractions look like this:

18
384
 +
192
384

Step 2

Since our denominators match, we can add the numerators.

18 + 192 = 210

Now we have an answer.

210
384

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...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

210
384
 ÷ 2 =
105
192

Now, try the same number again.

Nope. Try the next prime number, 3...

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

105
192
 ÷ 3 =
35
64

Now, try the same number again.

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...

No good. 37 is larger than 35. So we're done reducing.

Congratulations! Here's your final answer to 3/64 + 3/6

3
64
 +
3
6
 =
35
64
© 2014 Randy Tayler

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