What Is 16/25 as a Decimal + Solution With Free Steps

The fraction 16/25 as a decimal is equal to 0.64.

Fractions are one of the most fundamental concepts in mathematics. It is used to indicate how many sections a thing has. It is written in the form of ‘n/d’.  To get their decimal form, the long division method is used.

Here, we are interested more in the types of division that results in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers.

16 25 as a decimal

Now, we introduce the method used to solve said fraction to decimal conversion, called Long Division which we will discuss in detail moving forward. So, let’s go through the Solution of fraction 16/25.


First, we convert the fraction components i.e., the numerator and the denominator, and transform them into the division constituents i.e., the Dividend and the Divisor respectively.

This can be seen done as follows:

Dividend = 16

Divisor = 25

Now, we introduce the most important quantity in our process of division, this is the Quotient. The value represents the Solution to our division, and can be expressed as having the following relationship with the Division constituents:

Quotient = Dividend $\div$ Divisor = 16 $\div$ 25

This is when we go through the Long Division solution to our problem. The long division for the given fraction is shown in figure 1.

16/25 Long Division Method

Figure 1

16/25 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the division’s components and comparing them. As we have 16, and 25 we can see how 16 is Smaller than 25, and to solve this division we require that 16 be Bigger than 25.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. And if it is then we calculate the Multiple of the divisor which is closest to the dividend and subtract it from the Dividend. This produces the Remainder which we then use as the dividend later.

Now, we begin solving for our dividend 16, which after getting multiplied by 10 becomes 160.

We take this 160 and divide it by 25, this can be seen done as follows:

 160 $\div$ 25 $\approx$ 6


25 x 6 = 150

This will lead to the generation of a Remainder equal to 160 – 150 = 10, now this means we have to repeat the process by Converting the 10 into 100 and solving for that:

100 $\div$ 25 = 4 


25 x 4 = 100

This, therefore, produces another remainder which is equal to 100 – 100 = 0.

Finally, we have a Quotient generated after combining the two pieces of it as 0.64, with a Remainder equal to 0.

16 25 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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