math help

What is 4/52 + 2/6?

What is 4/52 + 2/6?

Let's add

4
52
 +
2
6

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

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

4/52 times 6

Do the same for the second term. We multiply 2 by 52, and get 104, then multiply 52 by 6 and get 312.

2/6 times 52

So now our fractions look like this:

24
312
 +
104
312

Step 2

Since our denominators match, we can add the numerators.

24 + 104 = 128

So the answer is:

128
312

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...

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

128
312
 ÷ 2 =
64
156

Now, try the same number again.

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

64
156
 ÷ 2 =
32
78

Now, try the same number again.

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

32
78
 ÷ 2 =
16
39

Now, try the same number again.

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...

No good. 17 is larger than 16. So we're done reducing.

Congratulations! Here's your final answer to 4/52 + 2/6

4
52
 +
2
6
 =
16
39
© 2014 Randy Tayler

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