Want to find 3/4 of 3? Seems tricky? Well, it’s not if you follow our step-by-step process.
Sometimes we are assigned the task to find the fraction of a portion of the number and here is what you will have to do to find the results. In this case, we take up the example of 3/4 and 3 and find out how much 3/4 of 3 is. Let us show the simple method by which you can do it.
1) A fraction is made of two parts, the numerator and the denominator, here, in this case, 3 is the numerator and 4 is the denominator.
2) Now, a numerator is a part that is present above the line of division and the numerator is the number that is present under the line of division.
What is 3/4 of 3? The answer is 2 ¼
Calculations to find 3/4 of 3
Here you need to convert the whole number 3 to a fraction to proceed with the calculations even further.
To do so, you simply need to put one below the line of division, here, in this case, the number in the form of a fraction will be 3/1.
(3 x 3)/(4×1) = 9/4
Now you need to equate the numerators and also multiply the denominators to find the final fraction.
Now with the fraction 9/4, you need to find the greatest common factor of 9 and 4.
Since there is no GCF or greatest common factor between 9 and 4, hence we need to change it to a mixed fraction.
The mixed fraction from improper fraction requires you to divide the numerator 9 by 4.
We see that four goes twice in the number 9, and the remainder is going to come as 1.
To form the mixed fraction, 2, the quotient will be the greater whole number and 1 will be the remainder, the divisor and the denominator remain the same, where the numerator 9 becomes the numerator and 4 the denominator, becomes the divisor
Hence, the improper fraction can be changed to a mixed fraction which is 2 ¼
3/4 of 3 = 2 ¼
This you will be able to obtain the answer of the result of ¾ of 4 by the method that is described above. You can also change the improper fraction to decimal which is 2.25
Also read: What is 3/4 of 4?