What Is 59/100 as a Decimal + Solution With Free Steps
The fraction 59/100 as a decimal is equal to 0.59.
A form p/q, in which p and q are separated by a line known as the Division line, can be used to express Fractions. The Numerator is the number above the division line, while the Denominator is the number below the division line.
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 59/100.
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 = 59
Divisor = 100
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 = 59 $\div$ 100
This is when we go through the Long Division solution to our problem.
59/100 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 59 and 100, we can see how 59 is Smaller than 100, and to solve this division, we require that 59 be Bigger than 100.
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 59, which after getting multiplied by 10 becomes 590.
We take this 590 and divide it by 100; this can be seen done as follows:
590 $\div$ 100 $\approx$ 5
Where:
100 x 5 = 500
This will lead to the generation of a Remainder equal to 590 – 500 = 90. Now this means we have to repeat the process by Converting the 90 into 900 and solving for that:
900 $\div$ 100 = 9
Where:
100 x 9 = 900
Finally, we have a Quotient generated after combining the pieces of it as 0.59 = z, with a Remainder equal to 0.
Images/mathematical drawings are created with GeoGebra.