math help

What is 9/32 + 4/12?

What is 9/32 + 4/12?

Let's add

9
32
 +
4
12

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 12, and get 108, then we multiply 32 by 12 and get 384.

9/32 times 12

Now for the second term. You multiply 4 by 32, and get 128, then multiply 32 by 12 and get 384.

4/12 times 32

This gives us a new problem that looks like so:

108
384
 +
128
384

Step 2

Since our denominators match, we can add the numerators.

108 + 128 = 236

That gives us an answer of

236
384

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:

236
384
 ÷ 2 =
118
192

Let's try dividing by that again...

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

118
192
 ÷ 2 =
59
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...

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...

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

There you have it! Here's the final answer to 9/32 + 4/12

9
32
 +
4
12
 =
59
96
© 2014 Randy Tayler

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