math help

What is 91/6 + 4/10?

What is 91/6 + 4/10?

This is how to add

91
6
+
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 91 by 10, and get 910, then we multiply 6 by 10 and get 60.

91/6 times 10

Now for the second term. You multiply 4 by 6, and get 24, then multiply 6 by 10 and get 60.

4/10 times 6

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

910
60
+
24
60

Step 2

Since our denominators match, we can add the numerators.

910 + 24 = 934

That gives us the sum, which is

934
60

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:

934
60
÷ 2 =
467
30

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...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

No good. 31 is larger than 30. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 4/10

91
6
+
4
10
=
467
30
© 2014 Randy Tayler