math help

What is 7/20 + 6/10?

What is 7/20 + 6/10?

Let's add

7
20
 +
6
10

Step 1

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

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

Multiply 6 by 2, and get 12, then we multiply 10 by 2 and get 20.

6/10 times 2

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

7
20
 +
12
20

Step 2

Since our denominators match, we can add the numerators.

7 + 12 = 19

Answer:

19
20

Step 3

Now, do we need to simplify this fraction?

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

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

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

No good. 23 is larger than 19. So we're done reducing.

Congratulations! Here's your final answer to 7/20 + 6/10

7
20
 +
6
10
 =
19
20
© 2014 Randy Tayler

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