math help

What is 9/100 + 3/6?

What is 9/100 + 3/6?

This is how to add

9
100
 +
3
6

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 9 by 6, and get 54, then we multiply 100 by 6 and get 600.

9/100 times 6

Do the same for the second term. We multiply 3 by 100, and get 300, then multiply 100 by 6 and get 600.

3/6 times 100

The problem now has new fractions to add:

54
600
 +
300
600

Step 2

Since our denominators match, we can add the numerators.

54 + 300 = 354

The sum we get is

354
600

Step 3

The last step is to reduce the fraction if we can.

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:

354
600
 ÷ 2 =
177
300

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:

177
300
 ÷ 3 =
59
100

Now, try the same number again.

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

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

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 59. So we're done reducing.

Congratulations! Here's your final answer to 9/100 + 3/6

9
100
 +
3
6
 =
59
100
© 2014 Randy Tayler

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