math help

What is 78/73 + 9/11?

What is 78/73 + 9/11?

This is how we add

78
73
+
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 78 by 11, and get 858, then we multiply 73 by 11 and get 803.

78/73 times 11

Now for the second term. You multiply 9 by 73, and get 657, then multiply 73 by 11 and get 803.

9/11 times 73

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

858
803
+
657
803

Step 2

Since our denominators match, we can add the numerators.

858 + 657 = 1515

Answer:

1515
803

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...

Nope! So now we try the next greatest prime number, 617...

Nope! So now we try the next greatest prime number, 619...

Nope! So now we try the next greatest prime number, 631...

Nope! So now we try the next greatest prime number, 641...

Nope! So now we try the next greatest prime number, 643...

Nope! So now we try the next greatest prime number, 647...

Nope! So now we try the next greatest prime number, 653...

Nope! So now we try the next greatest prime number, 659...

Nope! So now we try the next greatest prime number, 661...

Nope! So now we try the next greatest prime number, 673...

Nope! So now we try the next greatest prime number, 677...

Nope! So now we try the next greatest prime number, 683...

Nope! So now we try the next greatest prime number, 691...

Nope! So now we try the next greatest prime number, 701...

Nope! So now we try the next greatest prime number, 709...

Nope! So now we try the next greatest prime number, 719...

Nope! So now we try the next greatest prime number, 727...

Nope! So now we try the next greatest prime number, 733...

Nope! So now we try the next greatest prime number, 739...

Nope! So now we try the next greatest prime number, 743...

Nope! So now we try the next greatest prime number, 751...

Nope! So now we try the next greatest prime number, 757...

Nope! So now we try the next greatest prime number, 761...

Nope! So now we try the next greatest prime number, 769...

Nope! So now we try the next greatest prime number, 773...

Nope! So now we try the next greatest prime number, 787...

Nope! So now we try the next greatest prime number, 797...

Nope! So now we try the next greatest prime number, 809...

No good. 809 is larger than 803. So we're done reducing.

There you have it! Here's the final answer to 78/73 + 9/11

78
73
+
9
11
=
1515
803
© 2014 Randy Tayler