math help

What is 10/100 + 7/10?

What is 10/100 + 7/10?

Let's add

10
100
+
7
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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

Multiply 7 by 10, and get 70, then we multiply 10 by 10 and get 100.

7/10 times 10

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

10
100
+
70
100

Step 2

Since our denominators match, we can add the numerators.

10 + 70 = 80

That gives us the sum, which is

80
100

Step 3

Now, do we need to simplify this fraction?

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

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

80
100
÷ 2 =
40
50

Now, try the same number again.

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

40
50
÷ 2 =
20
25

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

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

20
25
÷ 5 =
4
5

Now, try the same number again.

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

Congratulations! Here's your final answer to 10/100 + 7/10

10
100
+
7
10
=
4
5
© 2014 Randy Tayler