math help

What is 25/9 + 1/4?

What is 25/9 + 1/4?

Here's how we add

25
9
+
1
4

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 25 by 4, and get 100, then we multiply 9 by 4 and get 36.

25/9 times 4

Now for the second term. You multiply 1 by 9, and get 9, then multiply 9 by 4 and get 36.

1/4 times 9

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

100
36
+
9
36

Step 2

Since our denominators match, we can add the numerators.

100 + 9 = 109

That gives us the sum, which is

109
36

Step 3

Now, do we need to simplify this fraction?

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

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...

Nope! So now we try the next greatest prime number, 37...

No good. 37 is larger than 36. So we're done reducing.

There you have it! Here's the final answer to 25/9 + 1/4

25
9
+
1
4
=
109
36
© 2014 Randy Tayler