What Is 5/25 as a Decimal + Solution With Free Steps

The fraction 5/25 as a decimal is equal to 0.2.

A decimal is a Fraction in which the denominator contains the power of 10 and the numerator has figures that are placed to the right of a decimal point. Fractions are of three types that is a proper fraction, improper fraction, and mixed fraction.

Here, we are more interested in the division types that result 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.

5 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 5/25.

Solution

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 = 5

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 = 5 $\div$ 25

This is when we go through the Long Division solution to our problem.

5/25 Long Division Method

5/25 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 5 and 25 we can see how 5 is Smaller than 25, and to solve this division we require that 5 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 5, which after getting multiplied by 10 becomes 50.

We take this 50 and divide it by 25, this can be seen done as follows:

 50 $\div$ 25 $\approx$ 2

Where:

25 x 2 = 50

This will lead to the generation of a Remainder equal to 50 – 50 = 0

5 by 25 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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