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What Is 79/80 as a Decimal + Solution With Free Steps

The fraction 79/80 as a decimal is equal to 0.9875.

The word “Fraction” is taken from the Latin term “Fractio,” meaning “to break,” so it represents a part of a whole, i.e., a portion or section of any quantity out of one whole thing, value, or a number. Mathematically a fraction is expressed as P/Q, where P is the number of parts the whole is being divided into while Q denotes how many sections of the fractions are represented.

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 79/80.

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 = 79

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 = 79 $\div$ 80

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

79/80 Long Division Method

Figure 1

79/80 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 79 and 80, we can see how 79 is Smaller than 80, and to solve this division, we require that 79 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 79, which after getting multiplied by 10 becomes 790.

We take this 790 and divide it by 80; this can be done as follows:

 790 $\div$ 80 $\approx$ 9

Where:

80 x 9 = 720

This will lead to generating a Remainder equal to 790 – 720 = 70. Now this means we have to repeat the process by Converting the 70 into 700 and solving for that:

700 $\div$ 80 $\approx$ 8 

Where:

80 x 8 = 640

This, therefore, produces another Remainder which is equal to 700 – 640 = 60. Now we must solve this problem to the Third Decimal Place for accuracy, so we repeat the process with dividend 600.

600 $\div$ 80 $\approx$ 7 

Where:

80 x 7 = 560

Finally, we have a Quotient generated after combining the three pieces of it as 0.987=z, with a Remainder equal to 40.

Images/mathematical drawings are created with GeoGebra.

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