math help

What is 78/73 + 5/7?

What is 78/73 + 5/7?

This is how you add

78
73
+
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 78 by 7, and get 546, then we multiply 73 by 7 and get 511.

78/73 times 7

Now for the second term. You multiply 5 by 73, and get 365, then multiply 73 by 7 and get 511.

5/7 times 73

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

546
511
+
365
511

Step 2

Since our denominators match, we can add the numerators.

546 + 365 = 911

Answer:

911
511

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...

Nope. Try the next prime number, 349...

Nope. Try the next prime number, 353...

Nope. Try the next prime number, 359...

Nope. Try the next prime number, 367...

Nope. Try the next prime number, 373...

Nope. Try the next prime number, 379...

Nope. Try the next prime number, 383...

Nope. Try the next prime number, 389...

Nope. Try the next prime number, 397...

Nope. Try the next prime number, 401...

Nope. Try the next prime number, 409...

Nope. Try the next prime number, 419...

Nope. Try the next prime number, 421...

Nope. Try the next prime number, 431...

Nope. Try the next prime number, 433...

Nope. Try the next prime number, 439...

Nope. Try the next prime number, 443...

Nope. Try the next prime number, 449...

Nope. Try the next prime number, 457...

Nope. Try the next prime number, 461...

Nope. Try the next prime number, 463...

Nope. Try the next prime number, 467...

Nope. Try the next prime number, 479...

Nope. Try the next prime number, 487...

Nope. Try the next prime number, 491...

Nope. Try the next prime number, 499...

Nope. Try the next prime number, 503...

Nope. Try the next prime number, 509...

Nope. Try the next prime number, 521...

No good. 521 is larger than 511. So we're done reducing.

Congratulations! Here's your final answer to 78/73 + 5/7

78
73
+
5
7
=
911
511
© 2014 Randy Tayler