Step 1

We can"t add two fountain with various denominators (the bottom number). Therefore you require to obtain a usual denominator - both bottom numbers need to match. To do this, you"ll main point the denominators times each other... Yet the numerators have to change, too. They get multiplied by the other term"s denominator.

You are watching: 2/3 plus 3/4

So we multiply 2 through 4, and get 8, then us multiply 3 by 4 and get 12.

*

Do the exact same for the second term. Us multiply 3 through 3, and also get 9, then multiply 3 through 4 and also get 12.

*

So now our fractions look favor this:

8
12
+9
12

Step 2

Since our platform match, we can add the numerators.

8 + 9 = 17

Now we have an answer.

17
12

Step 3

Last of all, we must simplify the fraction, if possible. Have the right to it be diminished to a much easier fraction?

To find out, we shot dividing the by 2...

Nope! So currently we shot the next biggest prime number, 3...

Nope! So currently we shot the next best prime number, 5...

Nope! So currently we try the next greatest prime number, 7...

Nope! So currently we shot the next biggest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

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No good. 13 is larger than 12. So we"re excellent reducing.

There you have actually it! Here"s the last answer to 2/3 + 3/42
3
+3
4
=17
12

© 2014 Randy Tayler
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