math help

What is 100/24 + 8/10?

What is 100/24 + 8/10?

This is how you add

100
24
+
8
10

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 10, and get 1000, then we multiply 24 by 10 and get 240.

100/24 times 10

Do the same for the second term. We multiply 8 by 24, and get 192, then multiply 24 by 10 and get 240.

8/10 times 24

The problem now has new fractions to add:

1000
240
+
192
240

Step 2

Since our denominators match, we can add the numerators.

1000 + 192 = 1192

The sum we get is

1192
240

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:

1192
240
÷ 2 =
596
120

Now, try the same number again.

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

596
120
÷ 2 =
298
60

Now, try the same number again.

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

298
60
÷ 2 =
149
30

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...

No good. 31 is larger than 30. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 8/10

100
24
+
8
10
=
149
30
© 2014 Randy Tayler