math help

What is 28/100 + 2/10?

What is 28/100 + 2/10?

Here's how to add

28
100
+
2
10

Step 1

We have to make sure the denominators are equal.

Since 10 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 2 by 10, and get 20, then we multiply 10 by 10 and get 100.

2/10 times 10

So now our fractions look like this:

28
100
+
20
100

Step 2

Since our denominators match, we can add the numerators.

28 + 20 = 48

Now we have an answer.

48
100

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:

48
100
÷ 2 =
24
50

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

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

24
50
÷ 2 =
12
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...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 28/100 + 2/10

28
100
+
2
10
=
12
25
© 2014 Randy Tayler