What Is 45/55 as a Decimal + Solution With Free Steps

The fraction 45/55 as a decimal is equal to 0.8181818181.

By dividing the two components of the Fraction, aÂ DecimalÂ can be obtained, which is another representation of the fraction. It is recognized by a decimal point, which separates its two parts, the fractional part, and the whole number part.

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,Â which we will discuss in detail moving forward. So, letâ€™s go through the Solution of fraction 45/55.

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 = 45

Divisor = 55

Now, we introduce the most important quantity in our division process: theÂ 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 = 45 $\div$ 55

This is when we go through the Long Division solution to our problem.

Figure 1

45/55 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the divisionâ€™s components and comparing them. As we have 45Â and 55, we can see how 45 is Smaller than 55, and to solve this division, we require that 45 be Bigger than 55.

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 45, which after getting multiplied by 10 becomes 450.

We take this 450 and divide it by 55; this can be done as follows:

Â 450 $\div$ 55 $\approx$ 8

Where:

45 x 8 = 440

This will lead to the generation of a Remainder equal to 450 â€“ 440 = 10. Now this means we have to repeat the process by Converting the 10 into 100Â and solving for that:

100 $\div$ 55 $\approx$ 1

Where:

55 x 1 = 55

This, therefore, produces another Remainder which is equal to 100 â€“ 55 = 45.

Finally, we have a Quotient generated after combining the pieces of it as 0.81, with a Remainder equal to 45.

Images/mathematical drawings are created with GeoGebra.