math help

What is 48/30 + 9/10?

What is 48/30 + 9/10?

This is how to add

48
30
+
9
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 9 by 3, and get 27, then we multiply 10 by 3 and get 30.

9/10 times 3

This gives us a new problem that looks like so:

48
30
+
27
30

Step 2

Since our denominators match, we can add the numerators.

48 + 27 = 75

That gives us an answer of

75
30

Step 3

Can this fraction be reduced?

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:

75
30
÷ 3 =
25
10

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:

25
10
÷ 5 =
5
2

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 + 9/10

48
30
+
9
10
=
5
2
© 2014 Randy Tayler