What Is 27/31 as a Decimal + Solution With Free Steps
The fraction 27/31 as a decimal is equal to 0.870.
Two numbers which are to be divided ca be written as a Fraction. for example if want to divide 27 by 31 we can write it as a fraction of 27/31. afetr dividing, we get a decimal number equal to 0.870 in result.
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 27/31.
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 = 27
Divisor = 31
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 = 27 $\div$ 31
This is when we go through the Long Division solution to our problem, which is given in figure 1.
27/31 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 27 and 31, we can see how 27 is Smaller than 31, and to solve this division, we require that 27 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 27, which after getting multiplied by 10 becomes 270.
We take this 270 and divide it by 31; this can be done as follows:
270 $\div$ 31 $\approx$ 8
31 x 8 = 248
This will lead to the generation of a Remainder equal to 270 – 248 = 22. Now this means we have to repeat the process by Converting the 22 into 220 and solving for that:
220 $\div$ 31 $\approx$ 7
31 x 7 = 217
This, therefore, produces another Remainder which is equal to 220 – 217 = 3. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 30.
30 $\div$ 31 $\approx$ 0
31 x 0 = 0
Finally, we have a Quotient generated after combining the three pieces of it as 0.870=z, with a Remainder equal to 30.
Images/mathematical drawings are created with GeoGebra.