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What Is 54/67 as a Decimal + Solution With Free Steps

The fraction 54/67 as a decimal is equal to 0.805.

A part of a complete thing is represented through fractions. This representation of fractions can be done in different ways. One of the common ways of this representation is decimal representation.

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 54/67.

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 = 54

Divisor = 67

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 = 54 $\div$ 67

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

54/67 Long Division Method

Figure 1

54/67 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 54 and 67, we can see how 54 is Smaller than 67, and to solve this division, we require that 54 be Bigger than 67.

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 54, which after getting multiplied by 10 becomes 540.

We take this 540 and divide it by 67; this can be done as follows:

 540 $\div$ 67 $\approx$ 8

Where:

67 x 8 = 536

This will lead to the generation of a Remainder equal to 540 – 536 = 4. Now this means we have to repeat the process by Converting the 4 into 40 and solving for that:

Since if 4 is multiplied by 10 it becomes 40, which is still a smaller value than 67, we multiply 40 by 10 again to make it 400. For this, we add a zero in the quotient just after the decimal point. It makes 400 bigger than 67 and divisions are possible now.

Now we begin solving our dividend 400

400 $\div$ 67 $\approx$ 5 

Where:

67 x 5 = 335

This, therefore, produces another Remainder which is equal to 400 – 335 = 65.

Finally, we have a Quotient generated after combining the three pieces of it as 0.805, with a Remainder equal to 65.

Images/mathematical drawings are created with GeoGebra.

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