math help

What is 57/7 + 11/12?

What is 57/7 + 11/12?

This is how we add

57
7
 +
11
12

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 12, and get 684, then we multiply 7 by 12 and get 84.

57/7 times 12

Now for the second term. You multiply 11 by 7, and get 77, then multiply 7 by 12 and get 84.

11/12 times 7

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

684
84
 +
77
84

Step 2

Since our denominators match, we can add the numerators.

684 + 77 = 761

That gives us the sum, which is

761
84

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

Nope! So now we try the next greatest prime number, 83...

Nope! So now we try the next greatest prime number, 89...

No good. 89 is larger than 84. So we're done reducing.

There you have it! Here's the final answer to 57/7 + 11/12

57
7
 +
11
12
 =
761
84
© 2014 Randy Tayler

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