math help

What is 100/24 + 5/10?

What is 100/24 + 5/10?

This is how to add

100
24
+
5
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 100 by 10, and get 1000, then we multiply 24 by 10 and get 240.

100/24 times 10

Now for the second term. You multiply 5 by 24, and get 120, then multiply 24 by 10 and get 240.

5/10 times 24

We now have a new problem, that looks like this:

1000
240
+
120
240

Step 2

Since our denominators match, we can add the numerators.

1000 + 120 = 1120

Answer:

1120
240

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

1120
240
÷ 2 =
560
120

Now, try the same number again.

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

560
120
÷ 2 =
280
60

Now, try the same number again.

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

280
60
÷ 2 =
140
30

Now, try the same number again.

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

140
30
÷ 2 =
70
15

Now, try the same number again.

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

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

70
15
÷ 5 =
14
3

Now, try the same number again.

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 5/10

100
24
+
5
10
=
14
3
© 2014 Randy Tayler