math help

What is 6/19 + 4/5?

What is 6/19 + 4/5?

This is how to add

6
19
+
4
5

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 6 by 5, and get 30, then we multiply 19 by 5 and get 95.

6/19 times 5

Do the same for the second term. We multiply 4 by 19, and get 76, then multiply 19 by 5 and get 95.

4/5 times 19

The problem now has new fractions to add:

30
95
+
76
95

Step 2

Since our denominators match, we can add the numerators.

30 + 76 = 106

This yields the answer

106
95

Step 3

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

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

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

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...

Nope. Try the next prime number, 97...

No good. 97 is larger than 95. So we're done reducing.

Congratulations! Here's your final answer to 6/19 + 4/5

6
19
+
4
5
=
106
95
© 2014 Randy Tayler