math help

What is 91/6 + 1/10?

What is 91/6 + 1/10?

This is how we add

91
6
+
1
10

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 91 by 10, and get 910, then we multiply 6 by 10 and get 60.

91/6 times 10

Do the same for the second term. We multiply 1 by 6, and get 6, then multiply 6 by 10 and get 60.

1/10 times 6

So now our fractions look like this:

910
60
+
6
60

Step 2

Since our denominators match, we can add the numerators.

910 + 6 = 916

Now we have an answer.

916
60

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

916
60
÷ 2 =
458
30

Let's try dividing by that again...

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

458
30
÷ 2 =
229
15

Let's try dividing by that again...

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...

No good. 17 is larger than 15. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 1/10

91
6
+
1
10
=
229
15
© 2014 Randy Tayler