math help

What is 24/5 + 1/10?

What is 24/5 + 1/10?

Here's how you add

24
5
+
1
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 5 is evenly divided by 10, we can multiply just one term to get a common denominator.

Multiply 24 by 2, and get 48, then we multiply 5 by 2 and get 10.

24/5 times 2

So now our fractions look like this:

48
10
+
1
10

Step 2

Since our denominators match, we can add the numerators.

48 + 1 = 49

So the answer is:

49
10

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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...

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 24/5 + 1/10

24
5
+
1
10
=
49
10
© 2014 Randy Tayler