math help

What is 57/7 + 1/11?

What is 57/7 + 1/11?

This is how to add

57
7
+
1
11

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 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 1 by 7, and get 7, then multiply 7 by 11 and get 77.

1/11 times 7

So now our fractions look like this:

627
77
+
7
77

Step 2

Since our denominators match, we can add the numerators.

627 + 7 = 634

Now we have an answer.

634
77

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...

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

Congratulations! Here's your final answer to 57/7 + 1/11

57
7
+
1
11
=
634
77
© 2014 Randy Tayler