What Is 4/6 As A Decimal + Solution With Free Steps

4by6 As A Decimal

The fraction 4/6 as a decimal is equal to 0.666.

A fraction is used to denote a portion or component of a whole. It stands for the equal pieces of the whole. The numerator and denominator are the two components that make up a fraction. 

The numerator is the number at the top, and the denominator is the number at the bottom. The denominator represents the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

A number whose digits are periodic repeating their values at regular intervals and whose indefinitely repeated portion is not zero is represented as a repeating decimal, also known as a recurring decimal.

To solve the 4/6 fraction, we can take the long division method.

Solution

To begin, we must first take the Dividend and the Divisor from our fraction. The procedure is as follows:

 Dividend  =  4

Divisor  = 6

Being aware that the Dividend serves as the numerator and the Divisor as the denominator, we can now easily move on to the quotient, which is described as the answer to a division. Therefore, given the circumstances, a quotient would seem as follows:

Quotient=Dividend $\div$ Divisor = 4 $\div$ 6

Now we may use the long division method to solve this problem.

4/6 Long Division Method

      Figure 1

4/6 Long Division Method

We have:

4 $\div$ 6 

We need to add a decimal point when the dividend is smaller than the divisor, which we may achieve by multiplying the dividend by 10. Therefore, we don’t require any decimal points if the divisor is lower.

The value that remains after an incomplete division is referred to as the remainder. Since it is a remainder, we shall add the Zero to its right, bringing the 4 in this case to 40.

40/6 is divided as indicated below.

40 $\div$ 6 $\approx$ 6

Where, 6 x 6 = 36

This shows that there was also a Remainder from this divide, which is equal to 4036 = 4

As a result of our dividend and the divisor’s incomplete division, a Remainder of 4 was produced. We can see that the remainder 4 needs a Zero to be solved further, so it is time for it to become the new dividend. Thus, the new dividend is 40 as follows:

40 $\div$ 6 $\approx$ 6

Where, 6 x 6 = 36

A remainder from this divide, which is equal to 4036 = 4

Everyone knows that when there doesn’t seem to be a complete solution, the division is done accurately to the third decimal point. So, after one final iteration of the process, the dividend 40 alters.

40 $\div$ 6 $\approx$ 6

Where, 6 x 6 = 36

Thus again remainder is 4036 = 4.

After three iterations, we have concluded our work and have a Quotient 0.666 and a Remainder of 4.Quotient and remainder of 4 per 6

Images/mathematical drawings are created with GeoGebra.

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