 # What Is 61/80 as a Decimal + Solution With Free Steps

The fraction 61/80 as a decimal is equal to 0.762.

The division of two numbers p and q can be represented in the traditional form of p $\boldsymbol\div$ q or as a fraction p/q, where p is the numerator and q is the denominator. Depending on the values of p and q, a fraction may be either proper or improper, with 61/80 being a proper fraction (numerator < denominator).

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 61/80.

## 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 = 61

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 = 61 $\div$ 80

This is when we go through the Long Division solution to our problem. Figure 1

## 61/80 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 61 and 80, we can see how 61 is Smaller than 80, and to solve this division, we require that 61 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 61, which after getting multiplied by 10 becomes 610.

We take this 610 and divide it by 80; this can be done as follows:

610 $\div$ 80 $\approx$ 7

Where:

80 x 7 = 560

This will lead to the generation of a Remainder equal to 610 – 560 = 50. Now this means we have to repeat the process by Converting the 50 into 500 and solving for that:

500 $\div$ 80 $\approx$ 6

Where:

80 x 6 = 480

This, therefore, produces another Remainder which is equal to 500 – 480 = 20. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 200.

200 $\div$ 80 $\approx$ 2

Where:

80 x 2 = 160

Finally, we have a Quotient generated after combining the three pieces 7, 6, and 2 to get 0.762, with a Remainder equal to 40.

Images/mathematical drawings are created with GeoGebra.

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