math help

What is 24/26 + 2/10?

What is 24/26 + 2/10?

This is how to add

24
26
+
2
10

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 10, and get 240, then we multiply 26 by 10 and get 260.

24/26 times 10

Do the same for the second term. We multiply 2 by 26, and get 52, then multiply 26 by 10 and get 260.

2/10 times 26

The problem now has new fractions to add:

240
260
+
52
260

Step 2

Since our denominators match, we can add the numerators.

240 + 52 = 292

The sum we get is

292
260

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:

292
260
÷ 2 =
146
130

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:

146
130
÷ 2 =
73
65

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. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. 67 is larger than 65. So we're done reducing.

And we're done! Here's the final answer to 24/26 + 2/10

24
26
+
2
10
=
73
65
© 2014 Randy Tayler