math help

What is 100/24 + 7/11?

What is 100/24 + 7/11?

This is how you add

100
24
+
7
11

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 100 by 11, and get 1100, then we multiply 24 by 11 and get 264.

100/24 times 11

Do the same for the second term. We multiply 7 by 24, and get 168, then multiply 24 by 11 and get 264.

7/11 times 24

The problem now has new fractions to add:

1100
264
+
168
264

Step 2

Since our denominators match, we can add the numerators.

1100 + 168 = 1268

The sum we get is

1268
264

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:

1268
264
÷ 2 =
634
132

Now, try the same number again.

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

634
132
÷ 2 =
317
66

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...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

No good. 67 is larger than 66. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 7/11

100
24
+
7
11
=
317
66
© 2014 Randy Tayler