math help

What is 99/7 + 3/5?

What is 99/7 + 3/5?

This is how you add

99
7
+
3
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 99 by 5, and get 495, then we multiply 7 by 5 and get 35.

99/7 times 5

Do the same for the second term. We multiply 3 by 7, and get 21, then multiply 7 by 5 and get 35.

3/5 times 7

The problem now has new fractions to add:

495
35
+
21
35

Step 2

Since our denominators match, we can add the numerators.

495 + 21 = 516

This yields the answer

516
35

Step 3

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

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

No good. 37 is larger than 35. So we're done reducing.

There you have it! Here's the final answer to 99/7 + 3/5

99
7
+
3
5
=
516
35
© 2014 Randy Tayler