math help

What is 91/1 + 8/10?

What is 91/1 + 8/10?

Here's how you add

91
1
+
8
10

Step 1

We have to make sure the denominators are equal.

Since 1 is evenly divided by 10, we can multiply just one term to get a common denominator.

Multiply 91 by 10, and get 910, then we multiply 1 by 10 and get 10.

91/1 times 10

The problem now has new fractions to add:

910
10
+
8
10

Step 2

Since our denominators match, we can add the numerators.

910 + 8 = 918

The sum we get is

918
10

Step 3

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

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

918
10
÷ 2 =
459
5

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. 7 is larger than 5. So we're done reducing.

And we're done! Here's the final answer to 91/1 + 8/10

91
1
+
8
10
=
459
5
© 2014 Randy Tayler