math help

What is 4/52 + 1/6?

What is 4/52 + 1/6?

Here's how to add

4
52
 +
1
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 4 by 6, and get 24, then we multiply 52 by 6 and get 312.

4/52 times 6

Now for the second term. You multiply 1 by 52, and get 52, then multiply 52 by 6 and get 312.

1/6 times 52

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

24
312
 +
52
312

Step 2

Since our denominators match, we can add the numerators.

24 + 52 = 76

That gives us the sum, which is

76
312

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:

76
312
 ÷ 2 =
38
156

Let's try dividing by that again...

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

38
156
 ÷ 2 =
19
78

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...

No good. 23 is larger than 19. So we're done reducing.

There you have it! Here's the final answer to 4/52 + 1/6

4
52
 +
1
6
 =
19
78
© 2014 Randy Tayler

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