math help

What is 95/29 + 5/10?

What is 95/29 + 5/10?

This is how to add

95
29
+
5
10

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 10, and get 950, then we multiply 29 by 10 and get 290.

95/29 times 10

Now for the second term. You multiply 5 by 29, and get 145, then multiply 29 by 10 and get 290.

5/10 times 29

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

950
290
+
145
290

Step 2

Since our denominators match, we can add the numerators.

950 + 145 = 1095

Answer:

1095
290

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

1095
290
÷ 5 =
219
58

Now, try the same number again.

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 + 5/10

95
29
+
5
10
=
219
58
© 2014 Randy Tayler