math help

What is 95/29 + 3/9?

What is 95/29 + 3/9?

This is how we add

95
29
+
3
9

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 95 by 9, and get 855, then we multiply 29 by 9 and get 261.

95/29 times 9

Do the same for the second term. We multiply 3 by 29, and get 87, then multiply 29 by 9 and get 261.

3/9 times 29

So now our fractions look like this:

855
261
+
87
261

Step 2

Since our denominators match, we can add the numerators.

855 + 87 = 942

So the answer is:

942
261

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...

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

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

942
261
÷ 3 =
314
87

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...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

No good. 89 is larger than 87. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 3/9

95
29
+
3
9
=
314
87
© 2014 Randy Tayler