math help

What is 80/2 + 4/6?

What is 80/2 + 4/6?

Let's add

80
2
 +
4
6

Step 1

We have to make sure the denominators are equal.

Since 2 is evenly divided by 6, we can multiply just one term to get a common denominator.

Multiply 80 by 3, and get 240, then we multiply 2 by 3 and get 6.

80/2 times 3

So now our fractions look like this:

240
6
 +
4
6

Step 2

Since our denominators match, we can add the numerators.

240 + 4 = 244

Now we have an answer.

244
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:

244
6
 ÷ 2 =
122
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 80/2 + 4/6

80
2
 +
4
6
 =
122
3
© 2014 Randy Tayler

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