Step 1

We can"t add two fractions with various denominators (the bottom number). Therefore you require to get a usual denominator - both bottom numbers need to match. To carry out this, you"ll main point the platform times every other... But the numerators need to change, too. They get multiplied by the other term"s denominator.

You are watching: 3/5 - 1/3

So we multiply 3 by 3, and get 9, then we multiply 5 by 3 and also get 15.

*

Do the exact same for the 2nd term. Us multiply 1 by 5, and get 5, then multiply 5 by 3 and get 15.

*

So now our fountain look like this:

9
15
+5
15

Step 2

Since our platform match, we can include the numerators.

9 + 5 = 14

Now we have an answer.

14
15

Step 3

Last the all, we must simplify the fraction, if possible. Can it be diminished to a easier fraction?

To uncover out, we try dividing the by 2...

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

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

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

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

Nope! So now we shot the next biggest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

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No good. 17 is bigger than 14. Therefore we"re done reducing.

There you have actually it! Here"s the last answer come 3/5 + 1/33
5
+1
3
=14
15

© 2014 Randy Tayler
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