math help

What is 2/8 + 10/12?

What is 2/8 + 10/12?

Here's how we add

2
8
+
10
12

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 2 by 12, and get 24, then we multiply 8 by 12 and get 96.

2/8 times 12

Do the same for the second term. We multiply 10 by 8, and get 80, then multiply 8 by 12 and get 96.

10/12 times 8

So now our fractions look like this:

24
96
+
80
96

Step 2

Since our denominators match, we can add the numerators.

24 + 80 = 104

So the answer is:

104
96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

104
96
÷ 2 =
52
48

So far so good... let's try to divide by that number again.

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

52
48
÷ 2 =
26
24

So far so good... let's try to divide by that number again.

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

26
24
÷ 2 =
13
12

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 2/8 + 10/12

2
8
+
10
12
=
13
12
© 2014 Randy Tayler