math help

What is 11/12 + 3/8?

What is 11/12 + 3/8?

This is how to add

11
12
+
3
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 11 by 8, and get 88, then we multiply 12 by 8 and get 96.

11/12 times 8

Do the same for the second term. We multiply 3 by 12, and get 36, then multiply 12 by 8 and get 96.

3/8 times 12

The problem now has new fractions to add:

88
96
+
36
96

Step 2

Since our denominators match, we can add the numerators.

88 + 36 = 124

This yields the answer

124
96

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:

124
96
÷ 2 =
62
48

Now, try the same number again.

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

62
48
÷ 2 =
31
24

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

No good. 29 is larger than 24. So we're done reducing.

Congratulations! Here's your final answer to 11/12 + 3/8

11
12
+
3
8
=
31
24
© 2014 Randy Tayler