What Is 5/9 as a Decimal + Solution With Free Steps

5by9 As A DecimalThe fraction 5/9 as a decimal is equal to 0.555.

A Fraction is the amount of equally sized pieces that make up a whole. A simple fraction is characterized by the presence of a line or slash separating the two numbers. Mostly, Division is used to solve a fraction.

In contrast to other mathematical operations, division typically seems to be more difficult. But this very complicated process has a solution that can make it quite simple. The approach chosen to solve the given question is Long Division.

Long Division is the mathematical process for dividing large numbers into more manageable units or groups. It is advantageous to simplify difficult problems.

In the given question, a fraction of 5/9 is given, which is to be solved by the method of Long Division to find its equivalent decimal number.

Solution

The first and most important step in addressing a division problem is separating it into its components according to how each one functions. When dividing, the number to be split or divided is denoted as the Dividend, and the number which is used to divide the dividend is denoted as the Divisor.

The dividend in the following problem is 5 however, the divisor is 8. A fraction can be divided completely to yield a Quotient, which is the division’s outcome, and a Remainder, which reflects the value that is still there after an incomplete division.

In the question to be solved, we have:

Dividend = 5

Divisor = 9 

Quotient = Dividend $\div$ Divisor = 5 $\div$ 9 

Now, let us solve it by the Long Division method.

5/9 Long Division Method

Figure 1

5/9 Long Division Method

Now, we will show the complete steps of the Long Division to solve this fraction.

We have:

5 $\div$ 9 

As we can see, 5, the Dividend is a smaller number as compared to 9, the Divisor. So we must have a Decimal Point to compute this given fraction. This can be achieved if we insert a zero to the right of the remainder. In doing so, we get 50, which is now to be divided by 9. The steps of division are explained below.

50 $\div$ 9 $\approx$ 5

Where:

9 x 5 = 45 

This demonstrates that a Remainder is generated in the outcome and is equal to:

50 – 45 = 5

Since a non-zero remainder is generated, we once again put a zero to the remainder’s right, but now insertion of the decimal point is not needed because we already have a quotient with the decimal value. We can also see that value of the remainder is 5, which is the same as before. Thus, the above steps will be repeated.

According to the results, we have 0.555 as the Quotient and 5 as the Remainder. This illustrates that 5/9 is a repeating and non-terminating fraction.Pie Chart 5 by 9 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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