math help

What is 57/7 + 7/11?

What is 57/7 + 7/11?

Here's how you add

57
7
+
7
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 57 by 11, and get 627, then we multiply 7 by 11 and get 77.

57/7 times 11

Do the same for the second term. We multiply 7 by 7, and get 49, then multiply 7 by 11 and get 77.

7/11 times 7

The problem now has new fractions to add:

627
77
+
49
77

Step 2

Since our denominators match, we can add the numerators.

627 + 49 = 676

This yields the answer

676
77

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...

No good. 79 is larger than 77. So we're done reducing.

Congratulations! Here's your final answer to 57/7 + 7/11

57
7
+
7
11
=
676
77
© 2014 Randy Tayler