math help

What is 91/6 + 2/10?

What is 91/6 + 2/10?

Here's how we add

91
6
+
2
10

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

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

91/6 times 10

Now for the second term. You multiply 2 by 6, and get 12, then multiply 6 by 10 and get 60.

2/10 times 6

This gives us a new problem that looks like so:

910
60
+
12
60

Step 2

Since our denominators match, we can add the numerators.

910 + 12 = 922

So what's the answer so far?

922
60

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

922
60
÷ 2 =
461
30

Now, try the same number again.

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...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

No good. 31 is larger than 30. So we're done reducing.

Congratulations! Here's your final answer to 91/6 + 2/10

91
6
+
2
10
=
461
30
© 2014 Randy Tayler