math help

What is 53/9 + 3/5?

What is 53/9 + 3/5?

Here's how to add

53
9
+
3
5

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

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

53/9 times 5

Do the same for the second term. We multiply 3 by 9, and get 27, then multiply 9 by 5 and get 45.

3/5 times 9

The problem now has new fractions to add:

265
45
+
27
45

Step 2

Since our denominators match, we can add the numerators.

265 + 27 = 292

The sum we get is

292
45

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

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

Congratulations! Here's your final answer to 53/9 + 3/5

53
9
+
3
5
=
292
45
© 2014 Randy Tayler