math help

What is 10/6 + 10/12?

What is 10/6 + 10/12?

This is how we add

10
6
+
10
12

Step 1

We have to make sure the denominators are equal.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 10 by 2, and get 20, then we multiply 6 by 2 and get 12.

10/6 times 2

The problem now has new fractions to add:

20
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

20 + 10 = 30

The sum we get is

30
12

Step 3

The last step is to reduce the fraction if we can.

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:

30
12
÷ 2 =
15
6

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

15
6
÷ 3 =
5
2

So far so good... let's try to divide by that number again.

No good. 3 is larger than 2. So we're done reducing.

And we're done! Here's the final answer to 10/6 + 10/12

10
6
+
10
12
=
5
2
© 2014 Randy Tayler

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