45 −2
3

Step 1

We can"t subtract 2 fractions with different denominators. For this reason you need to acquire a common denominator. To execute this, you"ll main point the platform times every other... But the numerators have to change, too. They get multiplied through the other term"s denominator.

You are watching: 4/5 - 2/3

So us multiply 4 by 3, and also get 12.

Then we multiply 2 by 5, and get 10.

Next we give both terms brand-new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12
15
−10
15

Step 2

Since our platform match, we deserve to subtract the numerators.

12 − 10 = 2

So the answer is:

2
15

Step 3

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

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

Nope! So now we try the next best prime number, 3...

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No good. 3 is bigger than 2. For this reason we"re excellent reducing.

There you have actually it! The last answer is:4
5
−2
3
=2
15

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