What Is -3/5 as a Decimal + Solution With Free Steps

3by5 As A Decimal 1The fraction -3/5 as a decimal is equal to -0.6.

Fractions are used to represent numbers when there is a relationship between them that involves division. There are numerous ways to solve the fraction, but we typically favor the Long Division method when the numbers are not entirely divisible by another number.

Here is a comprehensive explanation of how to use the Long Division method to solve the given fraction, -3/5, and generate the decimal equivalent.

Solution

Understanding the words used in this procedure is necessary before beginning to solve the given problem. Dividend and Divisor are the first two concepts we must comprehend to divide a fraction. The numerator of the fraction is named the Dividend while the denominator of the fraction is known as Divisor. In the given fraction -3 is the Dividend and 5 is the Divisor.

Dividend = -3

Divisor = 5

We obtain the required outcomes when we use mathematical operations to solve an issue. The answer we obtain after resolving the fraction using the aforementioned procedure is known as the Quotient. It is the result of the fraction in decimal form.

Quotient = Dividend $\div$ Divisor = -3 $\div$ 5

By using the mathematical method called Long Division the possible result of the fraction is as under:-3/5 Long Division Method

Figure 1

-3/5 Long Division Method

Here is a step-by-step explanation of the Long Division method for solving the given fraction.

The fraction that needs to be divided by using long division is as follows:

-3 $\div$ 5 

While solving the fractions we can have two cases in which the result of the division can be greater than or less than 1. It depends on the terms Dividend and Divisor. If the Dividend is greater than Divisor then we have a Quotient greater than 1, but in the case of having a Dividend less than the Divisor, the resulting value will be less than 1.

In the given fraction -3/5 it can be seen that we have numerator -3 which is less than the dominator 5, so first, we have to add the Decimal Point to proceed with the solution. After adding a decimal point to the Quotient we can add Zero to the right side of the Dividend.

Another term is required to be introduced before proceeding with the solution and the term is Remainder. It is the number that is left after the division of improper fractions.

By adding Zero to the Right side of the Dividend the number now we have is -30.

-30 $\div$ 5 = -6

Where:

5 x -6 = -30 

By doing this we have Remainder of 0 because -30 + 30 = 0. After having zero in the remainder we can now have the resulting quotient.

Hence, by using the Long Division method the resulting Quotient = -0.6 with the Remainder of 0.Quotient and remainder of 3 per 5

Images/mathematical drawings are created with GeoGebra.

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