What Is 31/80 as a Decimal + Solution With Free Steps

The fraction 31/80 as a decimal is equal to 0.387.

Fraction is a concise representation of division between two numbers. There are three main categories of fractions which are proper, improper, and mixed fractions. The fraction 31/80 is the proper fraction because 31 is smaller than 80.

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.

31 80 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 31/80.

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 = 31

Divisor = 80

Now, we introduce the most important quantity in our division process: 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 = 31 $\div$ 80

This is when we go through the Long Division solution to our problem. Figure 1 shows the solution of the fraction under consideration.

31/80 Long Division Method

Figure 1

31/80 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 31 and 80, we can see how 31 is Smaller than 80, and to solve this division, we require that 31 be Bigger than 80.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor 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 31, which after getting multiplied by 10 becomes 310.

We take this 310 and divide it by 80; this can be seen done as follows:

 310 $\div$ 80 $\approx$ 3

Where:

80 x 3 = 240

This will lead to the generation of a Remainder equal to 310 – 240 = 70. Now this means we have to repeat the process by Converting the 70 into 700 and solving for that:

700 $\div$ 80 $\approx$ 8

Where:

80 x 8 = 640

This, therefore, produces another remainder which is equal to 700 – 640 = 60. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 600.

600 $\div$ 80 $\approx$ 7 

Where:

80 x 7 = 560

Finally, we have a Quotient generated after combining the three pieces of it as 0.387, with a Remainder equal to 40.

31 80 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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