math help

What is 48/30 + 3/10?

What is 48/30 + 3/10?

Here's how to add

48
30
+
3
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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

Multiply 3 by 3, and get 9, then we multiply 10 by 3 and get 30.

3/10 times 3

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

48
30
+
9
30

Step 2

Since our denominators match, we can add the numerators.

48 + 9 = 57

Answer:

57
30

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...

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

57
30
÷ 3 =
19
10

Now, try the same number again.

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

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

Nope. Try the next prime number, 11...

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 48/30 + 3/10

48
30
+
3
10
=
19
10
© 2014 Randy Tayler