math help

What is 30/50 + 2/10?

What is 30/50 + 2/10?

Let's add

30
50
+
2
10

Step 1

We have to make sure the denominators are equal.

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

Multiply 2 by 5, and get 10, then we multiply 10 by 5 and get 50.

2/10 times 5

So now our fractions look like this:

30
50
+
10
50

Step 2

Since our denominators match, we can add the numerators.

30 + 10 = 40

Now we have an answer.

40
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:

40
50
÷ 2 =
20
25

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

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

20
25
÷ 5 =
4
5

So far so good... let's try to divide by that number again.

No good. 5 is larger than 4. So we're done reducing.

And we're done! Here's the final answer to 30/50 + 2/10

30
50
+
2
10
=
4
5
© 2014 Randy Tayler