math help

What is 70/51 + 1/8?

What is 70/51 + 1/8?

Here's how we add

70
51
+
1
8

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 70 by 8, and get 560, then we multiply 51 by 8 and get 408.

70/51 times 8

Do the same for the second term. We multiply 1 by 51, and get 51, then multiply 51 by 8 and get 408.

1/8 times 51

The problem now has new fractions to add:

560
408
+
51
408

Step 2

Since our denominators match, we can add the numerators.

560 + 51 = 611

This yields the answer

611
408

Step 3

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

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...

No good. 409 is larger than 408. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 1/8

70
51
+
1
8
=
611
408
© 2014 Randy Tayler