What Is 1/40 as a Decimal + Solution With Free Steps

The fraction 1/40 as a decimal is equal to 0.025.A fraction can be expressed in the form of p/q where p is the numerator and q is the denominator. There are various forms of a fraction such as proper fraction, improper fraction, and mixed fraction. The fraction under study is an improper fraction. A fraction can be converted into a decimal number via a long division process.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.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 1/40.

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 = 1

Divisor = 40

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 = 1 $\div$ 40

This is when we go through the Long Division solution to our problem. Given below is the long division of fraction 1/40 in figure 1:

1/40 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 1, and 40 we can see how 1 is Smaller than 40, and to solve this division we require that 1 be Bigger than 40.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.Since after multiplying by 10, 1 becomes 10 that is still smaller than 40 so we will multiply 10 again with 10. Now it will become 100 which is bigger than 40. This demands a zero to be added after the decimal point in the quotient.Now, we begin solving for our dividend 1, which after getting multiplied by 100 becomes 100.We take this 100 and divide it by 40, this can be seen done as follows:

 100 $\div$ 40 $\approx$ 2

Where:

40 x 2 = 80

This will lead to the generation of a Remainder equal to 100 – 80 = 20, now this means we have to repeat the process by Converting the 20 into 200 and solving for that:

200 $\div$ 40 = 5 

Where:

40 x 5 = 200

This, therefore, produces another remainder which is equal to 200 – 200 = 0.Finally, we have a Quotient generated after combining the three pieces of it as 0.025, with a Remainder equal to 0.Images/mathematical drawings are created with GeoGebra.