math help

What is 97/75 + 1/5?

What is 97/75 + 1/5?

This is how we add

97
75
+
1
5

Step 1

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

Since 5 is evenly divided by 75, we can multiply just one term to get a common denominator.

Multiply 1 by 15, and get 15, then we multiply 5 by 15 and get 75.

1/5 times 15

The problem now has new fractions to add:

97
75
+
15
75

Step 2

Since our denominators match, we can add the numerators.

97 + 15 = 112

This yields the answer

112
75

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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 + 1/5

97
75
+
1
5
=
112
75
© 2014 Randy Tayler