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

3by25 As A Decimal 1

The fraction 3/25 as a decimal is equal to 0.12.

The most common way of expressing a fraction is p/q where both p and q represent a non-zero number. And a Fraction represents the operation of division acting between two numbers, thus dividing one over the other.

Now, it is important to note that dividing two numbers such as in a fraction would lead to a Decimal Value. And the method used to convert a fraction into a decimal value is called Long Division.

Here, our given fraction is 3/25, so let’s find the solution to it.


We begin by understanding the two different parts of a Fraction and setting up our problem in terms of them. These parts are indeed the Dividend and the Divisor.

Dividend = 3

Divisor = 25

There is another term that is very commonly used in the works of a Fraction and that is a Quotient, which is the solution to a division.

Quotient = Dividend $\div$ Divisor = 3 $\div$ 25

Now, we shall look at the Long Division solution to this problem as follows:

3/25 Long Division Method

Figure 1

3/25 Long Division Method

Here, we will solve our problem originally to be expressed as:

3 $\div$ 25 

Now, this fraction turned into a division tells a lot about its Quotient. One major piece of information would be that the quotient is smaller than 1 and greater than 0, this is because the Dividend is smaller than the Divisor.

This is the point in time when we acknowledge the Remainder in this article. The Remainder is the quantity that is left as a result of an incomplete division. Thus, the divisor is not a Factor of the dividend.

Therefore, we have to introduce Zeros and place decimals. Now, we begin by looking at 3 $\div$ 25 and concluding that we require to put a decimal in this division’s Quotient. So, we get the dividend as 30.

30 $\div$ 25 $\approx$ 1


25 x 1 = 25 

So, we have a remainder of 30 – 25 = 5 produced.

Now, as a Remainder was produced, it is proof that the division was incomplete and we don’t have a Factor so, we carry on with the process, and get a dividend of 50.

50 $\div$ 25 = 2


25 x 2 = 50 

Now it must be noted that the solution to our problem has been calculated. The Remainder is indeed zero, as 50 – 50 = 0, and the Factor to the dividend which is 25 is found.

Thus, we have a Quotient value equal to 0.12, and this is found by placing together each quotient found for each division that we performed when solving the original problem. There is no Remainder as we had a complete division at the end when dealing with 50 as the dividend.Pie Chart 3 by 25 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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