math help

What is 3/64 + 9/11?

What is 3/64 + 9/11?

This is how we add

3
64
+
9
11

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 11, and get 33, then we multiply 64 by 11 and get 704.

3/64 times 11

Now for the second term. You multiply 9 by 64, and get 576, then multiply 64 by 11 and get 704.

9/11 times 64

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

33
704
+
576
704

Step 2

Since our denominators match, we can add the numerators.

33 + 576 = 609

That gives us the sum, which is

609
704

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide 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...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

Nope! So now we try the next greatest prime number, 83...

Nope! So now we try the next greatest prime number, 89...

Nope! So now we try the next greatest prime number, 97...

Nope! So now we try the next greatest prime number, 101...

Nope! So now we try the next greatest prime number, 103...

Nope! So now we try the next greatest prime number, 107...

Nope! So now we try the next greatest prime number, 109...

Nope! So now we try the next greatest prime number, 113...

Nope! So now we try the next greatest prime number, 127...

Nope! So now we try the next greatest prime number, 131...

Nope! So now we try the next greatest prime number, 137...

Nope! So now we try the next greatest prime number, 139...

Nope! So now we try the next greatest prime number, 149...

Nope! So now we try the next greatest prime number, 151...

Nope! So now we try the next greatest prime number, 157...

Nope! So now we try the next greatest prime number, 163...

Nope! So now we try the next greatest prime number, 167...

Nope! So now we try the next greatest prime number, 173...

Nope! So now we try the next greatest prime number, 179...

Nope! So now we try the next greatest prime number, 181...

Nope! So now we try the next greatest prime number, 191...

Nope! So now we try the next greatest prime number, 193...

Nope! So now we try the next greatest prime number, 197...

Nope! So now we try the next greatest prime number, 199...

Nope! So now we try the next greatest prime number, 211...

Nope! So now we try the next greatest prime number, 223...

Nope! So now we try the next greatest prime number, 227...

Nope! So now we try the next greatest prime number, 229...

Nope! So now we try the next greatest prime number, 233...

Nope! So now we try the next greatest prime number, 239...

Nope! So now we try the next greatest prime number, 241...

Nope! So now we try the next greatest prime number, 251...

Nope! So now we try the next greatest prime number, 257...

Nope! So now we try the next greatest prime number, 263...

Nope! So now we try the next greatest prime number, 269...

Nope! So now we try the next greatest prime number, 271...

Nope! So now we try the next greatest prime number, 277...

Nope! So now we try the next greatest prime number, 281...

Nope! So now we try the next greatest prime number, 283...

Nope! So now we try the next greatest prime number, 293...

Nope! So now we try the next greatest prime number, 307...

Nope! So now we try the next greatest prime number, 311...

Nope! So now we try the next greatest prime number, 313...

Nope! So now we try the next greatest prime number, 317...

Nope! So now we try the next greatest prime number, 331...

Nope! So now we try the next greatest prime number, 337...

Nope! So now we try the next greatest prime number, 347...

Nope! So now we try the next greatest prime number, 349...

Nope! So now we try the next greatest prime number, 353...

Nope! So now we try the next greatest prime number, 359...

Nope! So now we try the next greatest prime number, 367...

Nope! So now we try the next greatest prime number, 373...

Nope! So now we try the next greatest prime number, 379...

Nope! So now we try the next greatest prime number, 383...

Nope! So now we try the next greatest prime number, 389...

Nope! So now we try the next greatest prime number, 397...

Nope! So now we try the next greatest prime number, 401...

Nope! So now we try the next greatest prime number, 409...

Nope! So now we try the next greatest prime number, 419...

Nope! So now we try the next greatest prime number, 421...

Nope! So now we try the next greatest prime number, 431...

Nope! So now we try the next greatest prime number, 433...

Nope! So now we try the next greatest prime number, 439...

Nope! So now we try the next greatest prime number, 443...

Nope! So now we try the next greatest prime number, 449...

Nope! So now we try the next greatest prime number, 457...

Nope! So now we try the next greatest prime number, 461...

Nope! So now we try the next greatest prime number, 463...

Nope! So now we try the next greatest prime number, 467...

Nope! So now we try the next greatest prime number, 479...

Nope! So now we try the next greatest prime number, 487...

Nope! So now we try the next greatest prime number, 491...

Nope! So now we try the next greatest prime number, 499...

Nope! So now we try the next greatest prime number, 503...

Nope! So now we try the next greatest prime number, 509...

Nope! So now we try the next greatest prime number, 521...

Nope! So now we try the next greatest prime number, 523...

Nope! So now we try the next greatest prime number, 541...

Nope! So now we try the next greatest prime number, 547...

Nope! So now we try the next greatest prime number, 557...

Nope! So now we try the next greatest prime number, 563...

Nope! So now we try the next greatest prime number, 569...

Nope! So now we try the next greatest prime number, 571...

Nope! So now we try the next greatest prime number, 577...

Nope! So now we try the next greatest prime number, 587...

Nope! So now we try the next greatest prime number, 593...

Nope! So now we try the next greatest prime number, 599...

Nope! So now we try the next greatest prime number, 601...

Nope! So now we try the next greatest prime number, 607...

Nope! So now we try the next greatest prime number, 613...

No good. 613 is larger than 609. So we're done reducing.

There you have it! Here's the final answer to 3/64 + 9/11

3
64
+
9
11
=
609
704
© 2014 Randy Tayler