math help

What is 10/3 + 5/6?

What is 10/3 + 5/6?

This is how we add

10
3
+
5
6

Step 1

Now we need to make our denominators match.

Since 3 is evenly divided by 6, we can multiply just one term to get a common denominator.

Multiply 10 by 2, and get 20, then we multiply 3 by 2 and get 6.

10/3 times 2

So now our fractions look like this:

20
6
+
5
6

Step 2

Since our denominators match, we can add the numerators.

20 + 5 = 25

So the answer is:

25
6

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! 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...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 10/3 + 5/6

10
3
+
5
6
=
25
6
© 2014 Randy Tayler