math help

What is 80/2 + 4/10?

What is 80/2 + 4/10?

Here's how you add

80
2
+
4
10

Step 1

Now we need to make our denominators match.

Since 2 is evenly divided by 10, we can multiply just one term to get a common denominator.

Multiply 80 by 5, and get 400, then we multiply 2 by 5 and get 10.

80/2 times 5

So now our fractions look like this:

400
10
+
4
10

Step 2

Since our denominators match, we can add the numerators.

400 + 4 = 404

So the answer is:

404
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...

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

404
10
÷ 2 =
202
5

Let's try dividing by that again...

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 5. So we're done reducing.

There you have it! Here's the final answer to 80/2 + 4/10

80
2
+
4
10
=
202
5
© 2014 Randy Tayler