math help

What is 5/8 + 8/9?

What is 5/8 + 8/9?

This is how you add

5
8
+
8
9

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 5 by 9, and get 45, then we multiply 8 by 9 and get 72.

5/8 times 9

Do the same for the second term. We multiply 8 by 8, and get 64, then multiply 8 by 9 and get 72.

8/9 times 8

The problem now has new fractions to add:

45
72
+
64
72

Step 2

Since our denominators match, we can add the numerators.

45 + 64 = 109

The sum we get is

109
72

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...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

No good. 73 is larger than 72. So we're done reducing.

There you have it! Here's the final answer to 5/8 + 8/9

5
8
+
8
9
=
109
72
© 2014 Randy Tayler