math help

What is 95/29 + 1/2?

What is 95/29 + 1/2?

Let's add

95
29
+
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 95 by 2, and get 190, then we multiply 29 by 2 and get 58.

95/29 times 2

Now for the second term. You multiply 1 by 29, and get 29, then multiply 29 by 2 and get 58.

1/2 times 29

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

190
58
+
29
58

Step 2

Since our denominators match, we can add the numerators.

190 + 29 = 219

That gives us the sum, which is

219
58

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...

No good. 59 is larger than 58. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 1/2

95
29
+
1
2
=
219
58
© 2014 Randy Tayler