math help

What is 88/15 + 5/7?

What is 88/15 + 5/7?

This is how we add

88
15
+
5
7

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 88 by 7, and get 616, then we multiply 15 by 7 and get 105.

88/15 times 7

Now for the second term. You multiply 5 by 15, and get 75, then multiply 15 by 7 and get 105.

5/7 times 15

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

616
105
+
75
105

Step 2

Since our denominators match, we can add the numerators.

616 + 75 = 691

Answer:

691
105

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...

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...

Nope. Try the next prime number, 107...

No good. 107 is larger than 105. So we're done reducing.

Congratulations! Here's your final answer to 88/15 + 5/7

88
15
+
5
7
=
691
105
© 2014 Randy Tayler