math help

What is 78/73 + 11/12?

What is 78/73 + 11/12?

This is how to add

78
73
+
11
12

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 78 by 12, and get 936, then we multiply 73 by 12 and get 876.

78/73 times 12

Do the same for the second term. We multiply 11 by 73, and get 803, then multiply 73 by 12 and get 876.

11/12 times 73

The problem now has new fractions to add:

936
876
+
803
876

Step 2

Since our denominators match, we can add the numerators.

936 + 803 = 1739

The sum we get is

1739
876

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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...

Nope! So now we try the next greatest prime number, 811...

Nope! So now we try the next greatest prime number, 821...

Nope! So now we try the next greatest prime number, 823...

Nope! So now we try the next greatest prime number, 827...

Nope! So now we try the next greatest prime number, 829...

Nope! So now we try the next greatest prime number, 839...

Nope! So now we try the next greatest prime number, 853...

Nope! So now we try the next greatest prime number, 857...

Nope! So now we try the next greatest prime number, 859...

Nope! So now we try the next greatest prime number, 863...

Nope! So now we try the next greatest prime number, 877...

No good. 877 is larger than 876. So we're done reducing.

There you have it! Here's the final answer to 78/73 + 11/12

78
73
+
11
12
=
1739
876
© 2014 Randy Tayler

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