# What Is 3/25 as a Decimal + Solution With Free Steps

The fraction 4/7 as a decimal is equal to 0.571.

Division, out of all the mathematical operations seems to be the most complicated one. But it doesn’t have to be, as there is a way to solve this seemingly difficult problem. The method in question for solving fractions is called Long Division.

Here, we will solve the given fraction i.e., 4/7 using the Long Division as it will produce the decimal equivalent for this fraction.

## Solution

We begin by first separating the constituents of the fraction based on the nature of their operation. The numerator in a fraction in the case of a division is called the Dividend, whereas the denominator is referred to as the Divisor. And this brings us to this result:

Dividend = 4

Divisor = 7

Now, we carry on by rearranging this fraction in a more descriptive fashion, where we also introduce the term Quotient which corresponds to the solution of a division:

$Quotient = Dividend \div Divisor = 4 \div 7$

Now, we can solve the problem as follows using Long Division:

Figure 1

### 4/7 Long Division Method

The Long Division Method used to solve this problem can be further looked into as follows.

$4 \div 7$

As we know, $7$ is greater than $4$, and therefore you can’t solve this division without introducing a Decimal Point. Now to introduce said decimal point, we plug in a zero to the right of our Remainder.

Now Remainder is another division-specific term used for the remaining value resulting from an incomplete division.

As in this case, $4$ is a remainder, we will introduce the Zero to its right, therefore turning it into $40$ in the process. Now, we solve for:

$40 \div 7 \approx 5$

$Where, \phantom {()} 7 \times 5 = 35$

This means that there is a Remainder produced from this division as well, and it is equal to $40 – 35 = 5$.

Having produced a remainder from the Division, we repeat the process and plug a zero to the Remainder’s Right. In this case, we don’t have to use another decimal point given that the Quotient is already a decimal value now.

The resulting remainder was $5$, so addition of a Zero to its right will produce $50$. Now we can move forward and calculate:

$50 \div 7 \approx 7$

$Where, \phantom {()} 7 \times 7 = 49$

Thus, we have another Remainder equal to $1$. Bringing in another zero will produce $10$, thus in order to solve up to three decimal places we must calculate:

$10 \div 7 \approx 1$

$Where, \phantom {()} 7 \times 1 = 7$

Thus, we have a Quotient equal to $0.571$ with a Remainder of $3$. This means that if we solve further, we may be able to get a more accurate result.

Images/mathematical drawings are created with GeoGebra.