math help

What is 4/12 + 6/10?

What is 4/12 + 6/10?

Here's how we add

4
12
 +
6
10

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 10, and get 40, then we multiply 12 by 10 and get 120.

4/12 times 10

Do the same for the second term. We multiply 6 by 12, and get 72, then multiply 12 by 10 and get 120.

6/10 times 12

So now our fractions look like this:

40
120
 +
72
120

Step 2

Since our denominators match, we can add the numerators.

40 + 72 = 112

So the answer is:

112
120

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

112
120
 ÷ 2 =
56
60

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

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

56
60
 ÷ 2 =
28
30

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

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

28
30
 ÷ 2 =
14
15

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...

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. 17 is larger than 14. So we're done reducing.

And we're done! Here's the final answer to 4/12 + 6/10

4
12
 +
6
10
 =
14
15
© 2014 Randy Tayler

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