math help

What is 48/30 + 11/12?

What is 48/30 + 11/12?

This is how we add

48
30
 +
11
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 48 by 12, and get 576, then we multiply 30 by 12 and get 360.

48/30 times 12

Now for the second term. You multiply 11 by 30, and get 330, then multiply 30 by 12 and get 360.

11/12 times 30

This gives us a new problem that looks like so:

576
360
 +
330
360

Step 2

Since our denominators match, we can add the numerators.

576 + 330 = 906

So what's the answer so far?

906
360

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:

906
360
 ÷ 2 =
453
180

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

453
180
 ÷ 3 =
151
60

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. 61 is larger than 60. So we're done reducing.

And we're done! Here's the final answer to 48/30 + 11/12

48
30
 +
11
12
 =
151
60
© 2014 Randy Tayler

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