What Is 16/71 as a Decimal + Solution With Free Steps
The fraction 16/71 as a decimal is equal to 0.22535211.
A Fraction in arithmetic is defined as a thing that depicts the number of parts contained by a specific size. Moreover, a complex fraction contains a fraction in the numerator or the denominator. At the same time, a Simple fraction contains both integers.
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 16/71.
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 = 16
Divisor = 71
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 = 16 $\div$ 71
This is when we go through the Long Division solution to our problem. The following figure shows the long division:
16/71 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 16 and 71, we can see how 16 is Smaller than 71, and to solve this division, we require that 16 be Bigger than 71.
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 16, which after getting multiplied by 10 becomes 160.
We take this 160 and divide it by 71; this can be done as follows:
160 $\div$ 71 $\approx$ 2
71 x 2 = 142
This will lead to the generation of a Remainder equal to 160 – 142 = 18. Now this means we have to repeat the process by Converting the 18 into 180 and solving for that:
180 $\div$ 71 $\approx$ 2
71 x 2 = 142
This, therefore, produces another Remainder equal to 180 – 142 = 39. Now we must solve this problem to the Third Decimal Place for accuracy, so we repeat the process with dividend 390.
390 $\div$ 71 $\approx$ 5
71 x 5 = 355
Finally, we have a Quotient generated after combining the three pieces of it as 0.225=z, with a Remainder equal to 35.
Images/mathematical drawings are created with GeoGebra.