math help

What is 57/7 + 1/2?

What is 57/7 + 1/2?

Here's how we add

57
7
+
1
2

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 57 by 2, and get 114, then we multiply 7 by 2 and get 14.

57/7 times 2

Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 2 and get 14.

1/2 times 7

We now have a new problem, that looks like this:

114
14
+
7
14

Step 2

Since our denominators match, we can add the numerators.

114 + 7 = 121

Answer:

121
14

Step 3

Now, do we need to simplify this fraction?

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...

No good. 17 is larger than 14. So we're done reducing.

Congratulations! Here's your final answer to 57/7 + 1/2

57
7
+
1
2
=
121
14
© 2014 Randy Tayler