math help

What is 100/24 + 6/11?

What is 100/24 + 6/11?

Let's add

100
24
 +
6
11

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 100 by 11, and get 1100, then we multiply 24 by 11 and get 264.

100/24 times 11

Now for the second term. You multiply 6 by 24, and get 144, then multiply 24 by 11 and get 264.

6/11 times 24

This gives us a new problem that looks like so:

1100
264
 +
144
264

Step 2

Since our denominators match, we can add the numerators.

1100 + 144 = 1244

So what's the answer so far?

1244
264

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:

1244
264
 ÷ 2 =
622
132

Let's try dividing by that again...

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

622
132
 ÷ 2 =
311
66

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...

Nope! So now we try the next greatest prime number, 67...

No good. 67 is larger than 66. So we're done reducing.

There you have it! Here's the final answer to 100/24 + 6/11

100
24
 +
6
11
 =
311
66
© 2014 Randy Tayler

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