math help

What is 32/1 + 6/7?

What is 32/1 + 6/7?

Here's how we add

32
1
+
6
7

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 1 is evenly divided by 7, we can multiply just one term to get a common denominator.

Multiply 32 by 7, and get 224, then we multiply 1 by 7 and get 7.

32/1 times 7

The problem now has new fractions to add:

224
7
+
6
7

Step 2

Since our denominators match, we can add the numerators.

224 + 6 = 230

The sum we get is

230
7

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...

No good. 11 is larger than 7. So we're done reducing.

Congratulations! Here's your final answer to 32/1 + 6/7

32
1
+
6
7
=
230
7
© 2014 Randy Tayler