math help

What is 7/14 + 5/7?

What is 7/14 + 5/7?

Here's how you add

7
14
+
5
7

Step 1

Now we need to make our denominators match.

14 goes into 7 evenly, so we only need to multiply one term to get a common denominator.

Multiply 5 by 2, and get 10, then we multiply 7 by 2 and get 14.

5/7 times 2

This gives us a new problem that looks like so:

7
14
+
10
14

Step 2

Since our denominators match, we can add the numerators.

7 + 10 = 17

That gives us an answer of

17
14

Step 3

Can this fraction be reduced?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

No good. 17 is larger than 14. So we're done reducing.

There you have it! Here's the final answer to 7/14 + 5/7

7
14
+
5
7
=
17
14
© 2014 Randy Tayler