math help

What is 10/3 + 4/10?

What is 10/3 + 4/10?

This is how to add

10
3
+
4
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 10 by 10, and get 100, then we multiply 3 by 10 and get 30.

10/3 times 10

Now for the second term. You multiply 4 by 3, and get 12, then multiply 3 by 10 and get 30.

4/10 times 3

We now have a new problem, that looks like this:

100
30
+
12
30

Step 2

Since our denominators match, we can add the numerators.

100 + 12 = 112

Answer:

112
30

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

112
30
÷ 2 =
56
15

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...

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

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

No good. 17 is larger than 15. So we're done reducing.

There you have it! Here's the final answer to 10/3 + 4/10

10
3
+
4
10
=
56
15
© 2014 Randy Tayler