math help

What is 53/9 + 2/5?

What is 53/9 + 2/5?

This is how to add

53
9
+
2
5

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 53 by 5, and get 265, then we multiply 9 by 5 and get 45.

53/9 times 5

Now for the second term. You multiply 2 by 9, and get 18, then multiply 9 by 5 and get 45.

2/5 times 9

This gives us a new problem that looks like so:

265
45
+
18
45

Step 2

Since our denominators match, we can add the numerators.

265 + 18 = 283

So what's the answer so far?

283
45

Step 3

Can this fraction be reduced?

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...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

No good. 47 is larger than 45. So we're done reducing.

There you have it! Here's the final answer to 53/9 + 2/5

53
9
+
2
5
=
283
45
© 2014 Randy Tayler