math help

What is 48/30 + 2/5?

What is 48/30 + 2/5?

Let's add

48
30
+
2
5

Step 1

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

30 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 6, and get 12, then we multiply 5 by 6 and get 30.

2/5 times 6

This gives us a new problem that looks like so:

48
30
+
12
30

Step 2

Since our denominators match, we can add the numerators.

48 + 12 = 60

So what's the answer so far?

60
30

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

60
30
÷ 2 =
30
15

Now, try the same number again.

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

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

30
15
÷ 3 =
10
5

Now, try the same number again.

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

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

10
5
÷ 5 =
2
1

Now, try the same number again.

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

Congratulations! Here's your final answer to 48/30 + 2/5

48
30
+
2
5
=
2
1
= 2
© 2014 Randy Tayler