math help

What is 25/15 + 5/10?

What is 25/15 + 5/10?

This is how to add

25
15
+
5
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 25 by 10, and get 250, then we multiply 15 by 10 and get 150.

25/15 times 10

Now for the second term. You multiply 5 by 15, and get 75, then multiply 15 by 10 and get 150.

5/10 times 15

We now have a new problem, that looks like this:

250
150
+
75
150

Step 2

Since our denominators match, we can add the numerators.

250 + 75 = 325

That gives us the sum, which is

325
150

Step 3

Now, do we need to simplify this fraction?

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

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

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

325
150
÷ 5 =
65
30

Now, try the same number again.

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

65
30
÷ 5 =
13
6

Now, try the same number again.

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 25/15 + 5/10

25
15
+
5
10
=
13
6
© 2014 Randy Tayler