math help

What is 24/12 + 6/10?

What is 24/12 + 6/10?

This is how we add

24
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 24 by 10, and get 240, then we multiply 12 by 10 and get 120.

24/12 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:

240
120
 +
72
120

Step 2

Since our denominators match, we can add the numerators.

240 + 72 = 312

Now we have an answer.

312
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:

312
120
 ÷ 2 =
156
60

Now, try the same number again.

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

156
60
 ÷ 2 =
78
30

Now, try the same number again.

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

78
30
 ÷ 2 =
39
15

Now, try the same number again.

Nope. Try the next prime number, 3...

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

39
15
 ÷ 3 =
13
5

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 24/12 + 6/10

24
12
 +
6
10
 =
13
5
© 2014 Randy Tayler

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