34 −5
10

Step 1

We can"t subtract two fractions with different denominators. Therefore you require to get a typical denominator. To carry out this, you"ll multiply the denominators times every other... However the numerators need to change, too. They acquire multiplied by the other term"s denominator.

You are watching: What is 3/4 of 5

So us multiply 3 by 10, and get 30.

Then us multiply 5 through 4, and also get 20.

Next we provide both terms brand-new denominators -- 4 × 10 = 40.

So now our fountain look like this:

30
40
−20
40

Step 2

Since our denominators match, we can subtract the numerators.

30 − 20 = 10

So the answer is:

10
40

Step 3

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

To discover out, we shot dividing that by 2...

Are both the numerator and also the denominator evenly divisible by 2? Yes! so we mitigate it:

10
40
÷ 2 =5
20

Let"s try dividing through 2 again...

Nope! So now we shot the next greatest prime number, 3...

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

Are both the numerator and the denominator same divisible by 5? Yes! for this reason we alleviate it:

5
20
÷ 5 =1
4

Let"s shot dividing through 5 again...

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No good. 5 is larger than 1. So we"re excellent reducing.

There you have it! The final answer is:
3
4
−5
10
=1
4

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