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What Is 31/50 as a Decimal + Solution With Free Steps

The fraction 31/50 as a decimal is equal to 0.62.

The division is a basic operator to divide a large number into small ones. Some of the divisions result in proper integers whereas some produce decimals. The decimals can be further classified as terminating, non-terminating, recurring, and non-recurring.

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.

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 31/50.

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 = 50

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 $\div$ 50

This is when we go through the Long Division solution to our problem. The process of long division for fraction 31/50 is demonstrated in figure 1.

Figure 1

31/50 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 50, we can see how 31 is Smaller than 50, and to solve this division, we require that 31 be Bigger than 50.

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 50; this can be seen done as follows:

310 $\div$ 50 $\approx$ 6

Where:

50 x 6 = 300

This will lead to the generation of a Remainder equal to 310 – 300 = 10. Now this means we have to repeat the process by Converting the 10 into 100 and solving for that:

100 $\div$ 50 = 2 

Where:

50 x 2 = 100

This, therefore, produces another remainder which is equal to zero. Thus long division process is completed.

Finally, we have a Quotient generated after combining the two pieces of it as 0.62, with a Remainder equal to 0.

Images/mathematical drawings are created with GeoGebra.

Fractions to Decimals List

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