What Is 68/80 as a Decimal + Solution With Free Steps

The fraction 68/80 as a decimal is equal to 0.85.

Unlike Fraction is one of the most known types in fraction. In unlike fractions, the values in the denominator are not equal e.g. 1/3 and 2/7 in these fractions values of the bottom number in the denominator are 3 and 7 which are not equal.

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.

68 80 as a decimal

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 68/80.

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 = 68

Divisor = 80

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 = 68 $\div$ 80

This is when we go through the Long Division solution to our problem. The following figure shows the long division:

68/80 Long Division Method

Figure 1

68/80 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 68 and 80, we can see how 68 is Smaller than 80, and to solve this division, we require that 68 be Bigger than 80.

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 68, which after getting multiplied by 10 becomes 680.

We take this 680 and divide it by 80; this can be done as follows:

 680 $\div$ 80 $\approx$ 8

Where:

80 x 8 = 640

This will lead to the generation of a Remainder equal to 680 – 640 = 40. Now this means we have to repeat the process by Converting the 40 into 400 and solving for that:

400 $\div$ 80 = 5 

Where:

80 x 5 = 400

Therefore, Remainder which is equal to 400 – 400 = 0. Now we stop solving this problem.  We have a Quotient generated after combining the two pieces as 0.85=z, with a Remainder equal to 0.

68 80 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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