math help

What is 30/50 + 6/10?

What is 30/50 + 6/10?

Here's how you add

30
50
+
6
10

Step 1

Now we need to make our denominators match.

Since 10 is evenly divided by 50, we can multiply just one term to get a common denominator.

Multiply 6 by 5, and get 30, then we multiply 10 by 5 and get 50.

6/10 times 5

So now our fractions look like this:

30
50
+
30
50

Step 2

Since our denominators match, we can add the numerators.

30 + 30 = 60

So the answer is:

60
50

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

60
50
÷ 2 =
30
25

Let's try dividing by that again...

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:

30
25
÷ 5 =
6
5

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 30/50 + 6/10

30
50
+
6
10
=
6
5
© 2014 Randy Tayler