math help

What is 20/100 + 2/10?

What is 20/100 + 2/10?

This is how to add

20
100
+
2
10

Step 1

Now we need to make our denominators match.

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:

20
100
+
20
100

Step 2

Since our denominators match, we can add the numerators.

20 + 20 = 40

Now we have an answer.

40
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:

40
100
÷ 2 =
20
50

Let's try dividing by that again...

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

20
50
÷ 2 =
10
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:

10
25
÷ 5 =
2
5

Let's try dividing by that again...

No good. 5 is larger than 2. So we're done reducing.

There you have it! Here's the final answer to 20/100 + 2/10

20
100
+
2
10
=
2
5
© 2014 Randy Tayler