math help

What is 24/26 + 4/8?

What is 24/26 + 4/8?

This is how to add

24
26
+
4
8

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

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

24/26 times 8

Do the same for the second term. We multiply 4 by 26, and get 104, then multiply 26 by 8 and get 208.

4/8 times 26

The problem now has new fractions to add:

192
208
+
104
208

Step 2

Since our denominators match, we can add the numerators.

192 + 104 = 296

The sum we get is

296
208

Step 3

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

To find out, we try dividing it by 2...

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

296
208
÷ 2 =
148
104

So far so good... let's try to divide by that number again.

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

148
104
÷ 2 =
74
52

So far so good... let's try to divide by that number again.

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

74
52
÷ 2 =
37
26

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. 29 is larger than 26. So we're done reducing.

And we're done! Here's the final answer to 24/26 + 4/8

24
26
+
4
8
=
37
26
© 2014 Randy Tayler