math help

What is 9/32 + 1/6?

What is 9/32 + 1/6?

This is how to add

9
32
 +
1
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 9 by 6, and get 54, then we multiply 32 by 6 and get 192.

9/32 times 6

Do the same for the second term. We multiply 1 by 32, and get 32, then multiply 32 by 6 and get 192.

1/6 times 32

So now our fractions look like this:

54
192
 +
32
192

Step 2

Since our denominators match, we can add the numerators.

54 + 32 = 86

So the answer is:

86
192

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:

86
192
 ÷ 2 =
43
96

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...

No good. 47 is larger than 43. So we're done reducing.

There you have it! Here's the final answer to 9/32 + 1/6

9
32
 +
1
6
 =
43
96
© 2014 Randy Tayler

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