math help

What is 48/30 + 7/10?

What is 48/30 + 7/10?

Here's how we add

48
30
+
7
10

Step 1

We have to make sure the denominators are equal.

30 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 7 by 3, and get 21, then we multiply 10 by 3 and get 30.

7/10 times 3

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

48
30
+
21
30

Step 2

Since our denominators match, we can add the numerators.

48 + 21 = 69

That gives us the sum, which is

69
30

Step 3

Now, do we need to simplify this fraction?

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

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:

69
30
÷ 3 =
23
10

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...

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. 11 is larger than 10. So we're done reducing.

And we're done! Here's the final answer to 48/30 + 7/10

48
30
+
7
10
=
23
10
© 2014 Randy Tayler