math help

What is 24/5 + 3/10?

What is 24/5 + 3/10?

Here's how to add

24
5
+
3
10

Step 1

Now we need to make our denominators match.

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

The problem now has new fractions to add:

48
10
+
3
10

Step 2

Since our denominators match, we can add the numerators.

48 + 3 = 51

This yields the answer

51
10

Step 3

The last step is to reduce the fraction if we can.

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

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

There you have it! Here's the final answer to 24/5 + 3/10

24
5
+
3
10
=
51
10
© 2014 Randy Tayler