math help

What is 2/12 + 1/10?

What is 2/12 + 1/10?

Here's how we add

2
12
+
1
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 2 by 10, and get 20, then we multiply 12 by 10 and get 120.

2/12 times 10

Now for the second term. You multiply 1 by 12, and get 12, then multiply 12 by 10 and get 120.

1/10 times 12

This gives us a new problem that looks like so:

20
120
+
12
120

Step 2

Since our denominators match, we can add the numerators.

20 + 12 = 32

That gives us an answer of

32
120

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:

32
120
÷ 2 =
16
60

Now, try the same number again.

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

16
60
÷ 2 =
8
30

Now, try the same number again.

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

8
30
÷ 2 =
4
15

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 2/12 + 1/10

2
12
+
1
10
=
4
15
© 2014 Randy Tayler