math help

What is 24/26 + 3/8?

What is 24/26 + 3/8?

Here's how you add

24
26
+
3
8

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 24 by 8, and get 192, then we multiply 26 by 8 and get 208.

24/26 times 8

Now for the second term. You multiply 3 by 26, and get 78, then multiply 26 by 8 and get 208.

3/8 times 26

This gives us a new problem that looks like so:

192
208
+
78
208

Step 2

Since our denominators match, we can add the numerators.

192 + 78 = 270

So what's the answer so far?

270
208

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

270
208
÷ 2 =
135
104

Now, try the same number again.

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...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

No good. 107 is larger than 104. So we're done reducing.

Congratulations! Here's your final answer to 24/26 + 3/8

24
26
+
3
8
=
135
104
© 2014 Randy Tayler