math help

What is 97/75 + 2/5?

What is 97/75 + 2/5?

Here's how we add

97
75
+
2
5

Step 1

We have to make sure the denominators are equal.

75 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 15, and get 30, then we multiply 5 by 15 and get 75.

2/5 times 15

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

97
75
+
30
75

Step 2

Since our denominators match, we can add the numerators.

97 + 30 = 127

Answer:

127
75

Step 3

Now, do we need to simplify this fraction?

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. 79 is larger than 75. So we're done reducing.

And we're done! Here's the final answer to 97/75 + 2/5

97
75
+
2
5
=
127
75
© 2014 Randy Tayler