math help

What is 24/26 + 4/7?

What is 24/26 + 4/7?

Here's how you add

24
26
+
4
7

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 7, and get 168, then we multiply 26 by 7 and get 182.

24/26 times 7

Now for the second term. You multiply 4 by 26, and get 104, then multiply 26 by 7 and get 182.

4/7 times 26

This gives us a new problem that looks like so:

168
182
+
104
182

Step 2

Since our denominators match, we can add the numerators.

168 + 104 = 272

So what's the answer so far?

272
182

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:

272
182
÷ 2 =
136
91

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...

No good. 97 is larger than 91. So we're done reducing.

Congratulations! Here's your final answer to 24/26 + 4/7

24
26
+
4
7
=
136
91
© 2014 Randy Tayler