math help

What is 63/58 + 6/11?

What is 63/58 + 6/11?

Here's how you add

63
58
+
6
11

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 63 by 11, and get 693, then we multiply 58 by 11 and get 638.

63/58 times 11

Do the same for the second term. We multiply 6 by 58, and get 348, then multiply 58 by 11 and get 638.

6/11 times 58

The problem now has new fractions to add:

693
638
+
348
638

Step 2

Since our denominators match, we can add the numerators.

693 + 348 = 1041

This yields the answer

1041
638

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...

No good. 641 is larger than 638. So we're done reducing.

There you have it! Here's the final answer to 63/58 + 6/11

63
58
+
6
11
=
1041
638
© 2014 Randy Tayler