math help

What is 78/73 + 2/7?

What is 78/73 + 2/7?

This is how to add

78
73
+
2
7

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

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

78/73 times 7

Do the same for the second term. We multiply 2 by 73, and get 146, then multiply 73 by 7 and get 511.

2/7 times 73

So now our fractions look like this:

546
511
+
146
511

Step 2

Since our denominators match, we can add the numerators.

546 + 146 = 692

So the answer is:

692
511

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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 + 2/7

78
73
+
2
7
=
692
511
© 2014 Randy Tayler