math help

What is 72/63 + 4/9?

What is 72/63 + 4/9?

Let's add

72
63
+
4
9

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 9 is evenly divided by 63, we can multiply just one term to get a common denominator.

Multiply 4 by 7, and get 28, then we multiply 9 by 7 and get 63.

4/9 times 7

So now our fractions look like this:

72
63
+
28
63

Step 2

Since our denominators match, we can add the numerators.

72 + 28 = 100

Now we have an answer.

100
63

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

No good. 67 is larger than 63. So we're done reducing.

Congratulations! Here's your final answer to 72/63 + 4/9

72
63
+
4
9
=
100
63
© 2014 Randy Tayler