math help

What is 3/64 + 2/6?

What is 3/64 + 2/6?

Here's how you add

3
64
 +
2
6

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 3 by 6, and get 18, then we multiply 64 by 6 and get 384.

3/64 times 6

Now for the second term. You multiply 2 by 64, and get 128, then multiply 64 by 6 and get 384.

2/6 times 64

We now have a new problem, that looks like this:

18
384
 +
128
384

Step 2

Since our denominators match, we can add the numerators.

18 + 128 = 146

Answer:

146
384

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

146
384
 ÷ 2 =
73
192

Let's try dividing by that again...

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...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

No good. 79 is larger than 73. So we're done reducing.

There you have it! Here's the final answer to 3/64 + 2/6

3
64
 +
2
6
 =
73
192
© 2014 Randy Tayler

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