math help

What is 45/3 + 2/6?

What is 45/3 + 2/6?

Here's how to add

45
3
+
2
6

Step 1

We have to make sure the denominators are equal.

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

Multiply 45 by 2, and get 90, then we multiply 3 by 2 and get 6.

45/3 times 2

So now our fractions look like this:

90
6
+
2
6

Step 2

Since our denominators match, we can add the numerators.

90 + 2 = 92

So the answer is:

92
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...

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

92
6
÷ 2 =
46
3

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

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

And we're done! Here's the final answer to 45/3 + 2/6

45
3
+
2
6
=
46
3
© 2014 Randy Tayler