What Is 22/88 as a Decimal + Solution With Free Steps
The fraction 22/88 as a decimal is equal to 0.25.
Fractions are used to represent portions contained by a thing. When they are converted into a numerical value the resultant number is called a decimal. There are two types of decimals which are terminating and non-terminating.
The fraction when solved using the division gives a non-terminal decimal because it has only two digits after the decimal point.
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 22/88.
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 done as follows:
Dividend = 22
Divisor = 88
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 = 22 $\div$ 88
This is when we go through the Long Division solution to our problem. Figure 1 contains the solution for the fraction
Figure 1
22/88 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 22 and 88, we can see how 22 is Smaller than 88, and to solve this division, we require that 22 be Bigger than 88.
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 22, which after getting multiplied by 10 becomes 220.
We take this 220 and divide it by 88; this can be done as follows:
220 $\div$ 88 $\approx$ 2
Where:
88 x 2 = 176
This will lead to the generation of a Remainder equal to 220 – 176 = 44. Now this means we have to repeat the process by Converting the 44 into 440 and solving for that:
440 $\div$ 88 = 5
Where:
88 x 5 = 440
This, therefore, produces another Remainder equal to 440 – 440 = 0. Since we have zero in the remainder, there is no need for a further division process.
Finally, we have a Quotient generated after combining the two pieces of it as 0.25, with a Remainder equal to 0.
Images/mathematical drawings are created with GeoGebra.