math help

What is 81/64 + 3/4?

What is 81/64 + 3/4?

Here's how you add

81
64
+
3
4

Step 1

We have to make sure the denominators are equal.

Since 4 is evenly divided by 64, we can multiply just one term to get a common denominator.

Multiply 3 by 16, and get 48, then we multiply 4 by 16 and get 64.

3/4 times 16

So now our fractions look like this:

81
64
+
48
64

Step 2

Since our denominators match, we can add the numerators.

81 + 48 = 129

So the answer is:

129
64

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...

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. 67 is larger than 64. So we're done reducing.

And we're done! Here's the final answer to 81/64 + 3/4

81
64
+
3
4
=
129
64
© 2014 Randy Tayler