math help

What is 70/51 + 3/11?

What is 70/51 + 3/11?

This is how you add

70
51
+
3
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 70 by 11, and get 770, then we multiply 51 by 11 and get 561.

70/51 times 11

Now for the second term. You multiply 3 by 51, and get 153, then multiply 51 by 11 and get 561.

3/11 times 51

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

770
561
+
153
561

Step 2

Since our denominators match, we can add the numerators.

770 + 153 = 923

That gives us the sum, which is

923
561

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...

No good. 563 is larger than 561. So we're done reducing.

There you have it! Here's the final answer to 70/51 + 3/11

70
51
+
3
11
=
923
561
© 2014 Randy Tayler