math help

What is 9/32 + 2/6?

What is 9/32 + 2/6?

Here's how to add

9
32
 +
2
6

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

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

9/32 times 6

Now for the second term. You multiply 2 by 32, and get 64, then multiply 32 by 6 and get 192.

2/6 times 32

This gives us a new problem that looks like so:

54
192
 +
64
192

Step 2

Since our denominators match, we can add the numerators.

54 + 64 = 118

That gives us an answer of

118
192

Step 3

Can this fraction be reduced?

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

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

118
192
 ÷ 2 =
59
96

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...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 59. So we're done reducing.

Congratulations! Here's your final answer to 9/32 + 2/6

9
32
 +
2
6
 =
59
96
© 2014 Randy Tayler

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