math help

What is 95/29 + 6/9?

What is 95/29 + 6/9?

This is how to add

95
29
+
6
9

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 95 by 9, and get 855, then we multiply 29 by 9 and get 261.

95/29 times 9

Now for the second term. You multiply 6 by 29, and get 174, then multiply 29 by 9 and get 261.

6/9 times 29

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

855
261
+
174
261

Step 2

Since our denominators match, we can add the numerators.

855 + 174 = 1029

Answer:

1029
261

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...

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

1029
261
÷ 3 =
343
87

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...

No good. 89 is larger than 87. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 6/9

95
29
+
6
9
=
343
87
© 2014 Randy Tayler