math help

What is 97/75 + 4/5?

What is 97/75 + 4/5?

This is how to add

97
75
+
4
5

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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

Multiply 4 by 15, and get 60, then we multiply 5 by 15 and get 75.

4/5 times 15

This gives us a new problem that looks like so:

97
75
+
60
75

Step 2

Since our denominators match, we can add the numerators.

97 + 60 = 157

So what's the answer so far?

157
75

Step 3

Can this fraction be reduced?

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...

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

Congratulations! Here's your final answer to 97/75 + 4/5

97
75
+
4
5
=
157
75
© 2014 Randy Tayler