What is 25/15 + 10/12?

This is how to add

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 25 by 12, and get 300, then we multiply 15 by 12 and get 180.

Do the same for the second term. We multiply 10 by 15, and get 150, then multiply 15 by 12 and get 180.

The problem now has new fractions to add:

Step 2

Since our denominators match, we can add the numerators.

300 + 150 = 450

The sum we get is

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:

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

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 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

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

No good. 5 is larger than 2. So we're done reducing.

And we're done! Here's the final answer to 25/15 + 10/12