What Is 1/31 as a Decimal + Solution With Free Steps
The fraction 1/31 as a decimal is equal to 0.03225806.
The Quotient of the fraction a/b is a Decimal value whenever the Division b is not completely going on to Dividend a and gives an integer as a remainder. e.g 12/5 where 12 is divided by 5, 5 multiplied by 2 gives 10 and we get the remainder 2. So the result of 5/2 is 2.4 which is the quotient as a decimal
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 1/31.
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 done as follows:
Dividend = 1
Divisor = 31
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 = 1 $\div$ 31
This is when we go through the Long Division solution to our problem. The following figure shows the long division:
1/31 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 31, we can see how 1 is Smaller than 31, and to solve this division, we require that 1 be Bigger than 31.
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 1, which after getting multiplied by 10 twice and adding zero in Quotient after decimal point becomes 100.
We take this 100 and divide it by 31; this can be done as follows:
100 $\div$ 31 $\approx$ 3
31 x 3 = 93
This will lead to the generation of a Remainder equal to 100 – 93 = 7. Now this means we have to repeat the process by Converting the 7 into 70 and solving for that:
70 $\div$ 31 $\approx$ 2
31 x 2 = 62
Therefore Remainder which is equal to 70 – 62 = 8. Now we stop solving this problem, we have a Quotient generated after combining the two pieces of it as 0.032=z, with a Remainder equal to 8.
Images/mathematical drawings are created with GeoGebra.