What Is 5/23 as a Decimal + Solution With Free Steps
The fraction 5/23 as a decimal is equal to 0.217.
Fractions can be converted to their equivalent decimals. Fractions are mostly used to represent rational numbers. Fractions consist of two parts one is the numerator and the other is a denominator and they both are separated by a fractional bar. The fractional form is difficult to understand hence they are converted into the decimal form.
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 5/23.
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 = 5
Divisor = 23
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 = 5 $\div$ 23
This is when we go through the Long Division solution to our problem. The following figure depicts the solution for fraction 5/23.
5/23 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 5 and 23, we can see how 5 is Smaller than 23, and to solve this division, we require that 5 be Bigger than 23.
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 5, which after getting multiplied by 10 becomes 50.
We take this 50 and divide it by 23; this can be done as follows:
50 $\div$ 23 $\approx$ 2
23 x 2 = 46
This will lead to the generation of a Remainder equal to 50 – 46 = 4. Now this means we have to repeat the process by Converting the 4 into 40 and solving for that:
40 $\div$ 23 $\approx$ 1
23 x 1 = 23
This, therefore, produces another Remainder which is equal to 40 – 23 = 17. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 170.
170 $\div$ 23 $\approx$ 7
23 x 7 = 161
Finally, we have a Quotient generated after combining the three pieces of it as 0.217, with a Remainder equal to 9.
Images/mathematical drawings are created with GeoGebra.