math help

What is 53/9 + 1/4?

What is 53/9 + 1/4?

Here's how we add

53
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 53 by 4, and get 212, then we multiply 9 by 4 and get 36.

53/9 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:

212
36
+
9
36

Step 2

Since our denominators match, we can add the numerators.

212 + 9 = 221

Answer:

221
36

Step 3

Now, do we need to simplify this fraction?

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

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

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

Congratulations! Here's your final answer to 53/9 + 1/4

53
9
+
1
4
=
221
36
© 2014 Randy Tayler