math help

What is 50/8 + 10/12?

What is 50/8 + 10/12?

This is how we add

50
8
 +
10
12

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 50 by 12, and get 600, then we multiply 8 by 12 and get 96.

50/8 times 12

Do the same for the second term. We multiply 10 by 8, and get 80, then multiply 8 by 12 and get 96.

10/12 times 8

So now our fractions look like this:

600
96
 +
80
96

Step 2

Since our denominators match, we can add the numerators.

600 + 80 = 680

So the answer is:

680
96

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:

680
96
 ÷ 2 =
340
48

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:

340
48
 ÷ 2 =
170
24

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:

170
24
 ÷ 2 =
85
12

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. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 50/8 + 10/12

50
8
 +
10
12
 =
85
12
© 2014 Randy Tayler

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