 # What is 7/10 + 6/7? This is how you add

 7 10
+
 6 7

## 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 7 by 7, and get 49, then we multiply 10 by 7 and get 70. Do the same for the second term. We multiply 6 by 10, and get 60, then multiply 10 by 7 and get 70. The problem now has new fractions to add:

 49 70
+
 60 70

## Step 2

Since our denominators match, we can add the numerators.

49 + 60 = 109

The sum we get is

 109 70

## 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...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

No good. 71 is larger than 70. So we're done reducing.

There you have it! Here's the final answer to 7/10 + 6/7

 7 10
+
 6 7
=
 109 70
© 2014 Randy Tayler