math help

What is 78/92 + 1/4?

What is 78/92 + 1/4?

Here's how to add

78
92
+
1
4

Step 1

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

92 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 23, and get 23, then we multiply 4 by 23 and get 92.

1/4 times 23

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

78
92
+
23
92

Step 2

Since our denominators match, we can add the numerators.

78 + 23 = 101

That gives us the sum, which is

101
92

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...

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...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

No good. 97 is larger than 92. So we're done reducing.

Congratulations! Here's your final answer to 78/92 + 1/4

78
92
+
1
4
=
101
92
© 2014 Randy Tayler