math help

What is 1/14 + 10/12?

What is 1/14 + 10/12?

This is how you add

1
14
+
10
12

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 1 by 12, and get 12, then we multiply 14 by 12 and get 168.

1/14 times 12

Now for the second term. You multiply 10 by 14, and get 140, then multiply 14 by 12 and get 168.

10/12 times 14

This gives us a new problem that looks like so:

12
168
+
140
168

Step 2

Since our denominators match, we can add the numerators.

12 + 140 = 152

So what's the answer so far?

152
168

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:

152
168
÷ 2 =
76
84

Now, try the same number again.

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

76
84
÷ 2 =
38
42

Now, try the same number again.

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

38
42
÷ 2 =
19
21

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...

No good. 23 is larger than 19. So we're done reducing.

Congratulations! Here's your final answer to 1/14 + 10/12

1
14
+
10
12
=
19
21
© 2014 Randy Tayler

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