math help

What is 1/15 + 6/8?

What is 1/15 + 6/8?

This is how you add

1
15
+
6
8

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 1 by 8, and get 8, then we multiply 15 by 8 and get 120.

1/15 times 8

Do the same for the second term. We multiply 6 by 15, and get 90, then multiply 15 by 8 and get 120.

6/8 times 15

The problem now has new fractions to add:

8
120
+
90
120

Step 2

Since our denominators match, we can add the numerators.

8 + 90 = 98

The sum we get is

98
120

Step 3

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

To find out, we try dividing it by 2...

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

98
120
÷ 2 =
49
60

Let's try dividing by that again...

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...

No good. 53 is larger than 49. So we're done reducing.

There you have it! Here's the final answer to 1/15 + 6/8

1
15
+
6
8
=
49
60
© 2014 Randy Tayler