math help

What is 30/50 + 9/10?

What is 30/50 + 9/10?

Let's add

30
50
+
9
10

Step 1

Now we need to make our denominators match.

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

Multiply 9 by 5, and get 45, then we multiply 10 by 5 and get 50.

9/10 times 5

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

30
50
+
45
50

Step 2

Since our denominators match, we can add the numerators.

30 + 45 = 75

Answer:

75
50

Step 3

Now, do we need to simplify this fraction?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

75
50
÷ 5 =
15
10

Let's try dividing by that again...

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

15
10
÷ 5 =
3
2

Let's try dividing by that again...

No good. 5 is larger than 3. So we're done reducing.

There you have it! Here's the final answer to 30/50 + 9/10

30
50
+
9
10
=
3
2
© 2014 Randy Tayler