math help

What is 70/51 + 6/12?

What is 70/51 + 6/12?

This is how to add

70
51
 +
6
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 70 by 12, and get 840, then we multiply 51 by 12 and get 612.

70/51 times 12

Now for the second term. You multiply 6 by 51, and get 306, then multiply 51 by 12 and get 612.

6/12 times 51

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

840
612
 +
306
612

Step 2

Since our denominators match, we can add the numerators.

840 + 306 = 1146

Answer:

1146
612

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

1146
612
 ÷ 2 =
573
306

Now, try the same number again.

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

573
306
 ÷ 3 =
191
102

Now, try the same number again.

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...

No good. 103 is larger than 102. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 6/12

70
51
 +
6
12
 =
191
102
© 2014 Randy Tayler

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