math help

What is 9/100 + 2/12?

What is 9/100 + 2/12?

Here's how we add

9
100
 +
2
12

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 9 by 12, and get 108, then we multiply 100 by 12 and get 1200.

9/100 times 12

Now for the second term. You multiply 2 by 100, and get 200, then multiply 100 by 12 and get 1200.

2/12 times 100

We now have a new problem, that looks like this:

108
1200
 +
200
1200

Step 2

Since our denominators match, we can add the numerators.

108 + 200 = 308

Answer:

308
1200

Step 3

Now, do we need to simplify this fraction?

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

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

308
1200
 ÷ 2 =
154
600

Let's try dividing by that again...

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

154
600
 ÷ 2 =
77
300

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...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

No good. 79 is larger than 77. So we're done reducing.

There you have it! Here's the final answer to 9/100 + 2/12

9
100
 +
2
12
 =
77
300
© 2014 Randy Tayler

2/12 + 1/2
2/12 - 1/2
2/12 + 1/3
2/12 - 1/3
2/12 + 2/3
2/12 - 2/3
2/12 + 1/4
2/12 - 1/4
2/12 + 2/4
2/12 - 2/4
2/12 + 3/4
2/12 - 3/4
2/12 + 1/5
2/12 - 1/5
2/12 + 2/5
2/12 - 2/5
2/12 + 3/5
2/12 - 3/5
2/12 + 4/5
2/12 - 4/5
2/12 + 1/6
2/12 - 1/6
2/12 + 2/6
2/12 - 2/6
2/12 + 3/6
2/12 - 3/6
2/12 + 4/6
2/12 - 4/6
2/12 + 5/6
2/12 - 5/6
2/12 + 1/7
2/12 - 1/7
2/12 + 2/7
2/12 - 2/7
2/12 + 3/7
2/12 - 3/7
2/12 + 4/7
2/12 - 4/7
2/12 + 5/7
2/12 - 5/7
2/12 + 6/7
2/12 - 6/7
2/12 + 1/8
2/12 - 1/8
2/12 + 2/8
2/12 - 2/8
2/12 + 3/8
2/12 - 3/8
2/12 + 4/8
2/12 - 4/8
2/12 + 5/8
2/12 - 5/8
2/12 + 6/8
2/12 - 6/8
2/12 + 7/8
2/12 - 7/8
2/12 + 1/9
2/12 - 1/9
2/12 + 2/9
2/12 - 2/9
2/12 + 3/9
2/12 - 3/9
2/12 + 4/9
2/12 - 4/9
2/12 + 5/9
2/12 - 5/9
2/12 + 6/9
2/12 - 6/9
2/12 + 7/9
2/12 - 7/9
2/12 + 8/9
2/12 - 8/9
2/12 + 1/10
2/12 - 1/10
2/12 + 2/10
2/12 - 2/10
2/12 + 3/10
2/12 - 3/10
2/12 + 4/10
2/12 - 4/10
2/12 + 5/10
2/12 - 5/10
2/12 + 6/10
2/12 - 6/10
2/12 + 7/10
2/12 - 7/10
2/12 + 8/10
2/12 - 8/10
2/12 + 9/10
2/12 - 9/10
2/12 + 1/11
2/12 - 1/11
2/12 + 2/11
2/12 - 2/11
2/12 + 3/11
2/12 - 3/11
2/12 + 4/11
2/12 - 4/11
2/12 + 5/11
2/12 - 5/11
2/12 + 6/11
2/12 - 6/11
2/12 + 7/11
2/12 - 7/11
2/12 + 8/11
2/12 - 8/11
2/12 + 9/11
2/12 - 9/11
2/12 + 10/11
2/12 - 10/11
2/12 + 1/12
2/12 - 1/12
2/12 + 2/12
2/12 - 2/12
2/12 + 3/12
2/12 - 3/12
2/12 + 4/12
2/12 - 4/12
2/12 + 5/12
2/12 - 5/12
2/12 + 6/12
2/12 - 6/12
2/12 + 7/12
2/12 - 7/12
2/12 + 8/12
2/12 - 8/12
2/12 + 9/12
2/12 - 9/12
2/12 + 10/12
2/12 - 10/12
2/12 + 11/12
2/12 - 11/12