math help

What is 70/51 + 1/11?

What is 70/51 + 1/11?

Here's how to add

70
51
+
1
11

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 70 by 11, and get 770, then we multiply 51 by 11 and get 561.

70/51 times 11

Now for the second term. You multiply 1 by 51, and get 51, then multiply 51 by 11 and get 561.

1/11 times 51

This gives us a new problem that looks like so:

770
561
+
51
561

Step 2

Since our denominators match, we can add the numerators.

770 + 51 = 821

So what's the answer so far?

821
561

Step 3

Can this fraction be reduced?

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...

Nope. Try the next prime number, 523...

Nope. Try the next prime number, 541...

Nope. Try the next prime number, 547...

Nope. Try the next prime number, 557...

Nope. Try the next prime number, 563...

No good. 563 is larger than 561. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 1/11

70
51
+
1
11
=
821
561
© 2014 Randy Tayler