math help

What is 28/100 + 2/12?

What is 28/100 + 2/12?

This is how you add

28
100
+
2
12

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 12, and get 336, then we multiply 100 by 12 and get 1200.

28/100 times 12

Do the same for the second term. We multiply 2 by 100, and get 200, then multiply 100 by 12 and get 1200.

2/12 times 100

The problem now has new fractions to add:

336
1200
+
200
1200

Step 2

Since our denominators match, we can add the numerators.

336 + 200 = 536

The sum we get is

536
1200

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:

536
1200
÷ 2 =
268
600

Now, try the same number again.

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

268
600
÷ 2 =
134
300

Now, try the same number again.

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

134
300
÷ 2 =
67
150

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...

No good. 71 is larger than 67. So we're done reducing.

Congratulations! Here's your final answer to 28/100 + 2/12

28
100
+
2
12
=
67
150
© 2014 Randy Tayler