# What Is 8/5 as a Decimal + Solution With Free Steps

The fraction 8/5 as a decimal is equal to 1.6.

We determine how many equally sized pieces we can divide a number or quantity into using the mathematical idea ofÂ
Fractions. In its depiction, a line separates theÂ NumeratorÂ andÂ Denominator, which are its two parts.

SinceÂ DecimalsÂ are more convenient and understandable than fractions, so mostly fractions are converted into decimal forms before using in mathematical operations. There are various methods to do this conversion, but mostlyÂ Long DivisionÂ is preferred.

## Solution

When we divide a fraction into its parts based on how they operate, we transform it into division. Consequently, we find the numerator to be theÂ Dividend, a number we have to divide, and the denominator to be theÂ Divisor, a number that will divide.

Thus, in our example ofÂ
8/5, we have numeratorÂ 8Â as a dividend and denominatorÂ 5Â as a divisor.

Dividend = 8

Divisor = 5

The complete division of two numbers gives us a decimal value equivalent to a fraction named theÂ Quotient. However, there are instances where two integers cannot split evenly and leave us with some value. TheÂ remainderÂ is the name of this value.

Quotient = Dividend Ã· Divisor = 8 Ã· 5

Figure 1

## 8/5 Long Division Method

We have two important divisional rules. The first rule indicates that we must subtract a multiple of the Divisor closest to the Dividend from the Dividend. Two numbers have been divided completely if there is no value left after subtraction. On the other hand, a leftover value means that we still need to solve it.

According to the second rule, we put aÂ Decimal PointÂ in the Quotient whenever the Dividend is lesser than the Divisor. However, in this case where the Dividend is bigger, no decimal point is needed.

Our task is to solve the following fraction:

8 Ã· 5

Given that our dividendÂ 8Â is higher than our divisorÂ 5, we must solve an improper fraction. We can therefore continue our division without using a decimal point. 8 is split by 5 as follows:

8 Ã· 5 \approx 1

5 x 1 = 5

By subtractingÂ 5Â fromÂ 8, we can find the remaining term.

8 â€“ 5 = 3

As a result, the remainder is now smaller than the Divisor. For our computations to be complete, we need a decimal point. We can get this decimal point by multiplying our remainder byÂ 10. The remainderÂ 3Â thus gives usÂ 30Â and serves as our Dividend for the subsequent iteration.

30 Ã· 5 \approx 6

5 x 6 = 30

30 â€“ 30Â yields zero. This gives us the conclusion that the fraction is divided, and we getÂ 1.6Â as theÂ QuotientÂ and an equivalent decimal ofÂ 8/5.

Images/mathematical drawings are created with GeoGebra.