math help

What is 11/16 + 7/8?

What is 11/16 + 7/8?

Here's how to add

11
16
+
7
8

Step 1

Now we need to make our denominators match.

Since 8 is evenly divided by 16, we can multiply just one term to get a common denominator.

Multiply 7 by 2, and get 14, then we multiply 8 by 2 and get 16.

7/8 times 2

The problem now has new fractions to add:

11
16
+
14
16

Step 2

Since our denominators match, we can add the numerators.

11 + 14 = 25

This yields the answer

25
16

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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 16. So we're done reducing.

There you have it! Here's the final answer to 11/16 + 7/8

11
16
+
7
8
=
25
16
© 2014 Randy Tayler