math help

What is 3/64 + 5/7?

What is 3/64 + 5/7?

This is how you add

3
64
+
5
7

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 3 by 7, and get 21, then we multiply 64 by 7 and get 448.

3/64 times 7

Now for the second term. You multiply 5 by 64, and get 320, then multiply 64 by 7 and get 448.

5/7 times 64

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

21
448
+
320
448

Step 2

Since our denominators match, we can add the numerators.

21 + 320 = 341

That gives us the sum, which is

341
448

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide 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...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

Nope. Try the next prime number, 131...

Nope. Try the next prime number, 137...

Nope. Try the next prime number, 139...

Nope. Try the next prime number, 149...

Nope. Try the next prime number, 151...

Nope. Try the next prime number, 157...

Nope. Try the next prime number, 163...

Nope. Try the next prime number, 167...

Nope. Try the next prime number, 173...

Nope. Try the next prime number, 179...

Nope. Try the next prime number, 181...

Nope. Try the next prime number, 191...

Nope. Try the next prime number, 193...

Nope. Try the next prime number, 197...

Nope. Try the next prime number, 199...

Nope. Try the next prime number, 211...

Nope. Try the next prime number, 223...

Nope. Try the next prime number, 227...

Nope. Try the next prime number, 229...

Nope. Try the next prime number, 233...

Nope. Try the next prime number, 239...

Nope. Try the next prime number, 241...

Nope. Try the next prime number, 251...

Nope. Try the next prime number, 257...

Nope. Try the next prime number, 263...

Nope. Try the next prime number, 269...

Nope. Try the next prime number, 271...

Nope. Try the next prime number, 277...

Nope. Try the next prime number, 281...

Nope. Try the next prime number, 283...

Nope. Try the next prime number, 293...

Nope. Try the next prime number, 307...

Nope. Try the next prime number, 311...

Nope. Try the next prime number, 313...

Nope. Try the next prime number, 317...

Nope. Try the next prime number, 331...

Nope. Try the next prime number, 337...

Nope. Try the next prime number, 347...

No good. 347 is larger than 341. So we're done reducing.

Congratulations! Here's your final answer to 3/64 + 5/7

3
64
+
5
7
=
341
448
© 2014 Randy Tayler