math help

What is 28/100 + 6/8?

What is 28/100 + 6/8?

This is how you add

28
100
+
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 28 by 8, and get 224, then we multiply 100 by 8 and get 800.

28/100 times 8

Do the same for the second term. We multiply 6 by 100, and get 600, then multiply 100 by 8 and get 800.

6/8 times 100

The problem now has new fractions to add:

224
800
+
600
800

Step 2

Since our denominators match, we can add the numerators.

224 + 600 = 824

The sum we get is

824
800

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:

824
800
÷ 2 =
412
400

Now, try the same number again.

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

412
400
÷ 2 =
206
200

Now, try the same number again.

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

206
200
÷ 2 =
103
100

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...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

No good. 101 is larger than 100. So we're done reducing.

Congratulations! Here's your final answer to 28/100 + 6/8

28
100
+
6
8
=
103
100
© 2014 Randy Tayler