math help

What is 12/13 + 2/10?

What is 12/13 + 2/10?

This is how you add

12
13
+
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 12 by 10, and get 120, then we multiply 13 by 10 and get 130.

12/13 times 10

Now for the second term. You multiply 2 by 13, and get 26, then multiply 13 by 10 and get 130.

2/10 times 13

This gives us a new problem that looks like so:

120
130
+
26
130

Step 2

Since our denominators match, we can add the numerators.

120 + 26 = 146

So what's the answer so far?

146
130

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:

146
130
÷ 2 =
73
65

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...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

No good. 67 is larger than 65. So we're done reducing.

Congratulations! Here's your final answer to 12/13 + 2/10

12
13
+
2
10
=
73
65
© 2014 Randy Tayler