What Is 1/15 as a Decimal + Solution With Free Steps

1by15 As A DecimalThe fraction 1/15 as a decimal is equal to 0.0666.

A Fraction is a method for expressing a division-based relationship among numbers. When these numbers are not in the same family of multiples, then the division results in a Decimal Number.

And the process for solving this type of fraction is referred to as the Long Division Method. So, let’s look at the Long Division Method solution for this fraction 1/15.

Solution

We start by separating the fraction into its constituents called the Dividend and the Divisor which are the numerator and the denominator respectively. This is given as follows:

Dividend = 1

Divisor = 15

Now, another important term to note here is the Quotient as it represents the solution to the division of a fraction.

Quotient = Dividend $\div$ Divisor = 1 $\div$ 15

As we have already learned about the Long Division Method, now is the time to look at it in more detail.

1/15 Long Division Method

Figure 1

1/15 Long Division Method

First, we introduce the Division Operand to the fraction which is shown down here:

1 $\div$ 15

Now, it is important to note that the Dividend and the Divisor have a very special connection with one another. As the smaller, the dividend gets the smaller the Quotient value becomes, and if the dividend is smaller than the divisor, then the Quotient is smaller by 1.

Last but not least we have a quantity to introduce, and this is called the Remainder. The Remainder is the result of an inconclusive division. So, if the divisor is not the Factor of the dividend, then a remainder is always produced.

Where a Factor is a number that can be completed and divided upon.

Now, as we can see that our problem 1/15  does not have a dividend bigger than the divisor, we will begin by bringing in a Zero and a Decimal. We make our dividend become 10:

 10 $\div$ 15 $\approx$ 0

Where:

 15 x 0 = 0 

Which produces a remainder of 10 – 0 = 10.

This leads to the need to repeat the process and get another zero added to the right of the dividend, and now it becomes 100.

100 $\div$ 15 $\approx$ 6 

Where:

15 x 6 = 90 

Which produces a remainder of 100 – 90 = 10.

It may be noted that the dividend is repeating itself and this means that so will the Quotient. So repeat the process one last time for the sake of accuracy up to the Third Decimal Place and then leave it as it seems like a Recurring Decimal Number.

100 $\div$ 15 $\approx$ 6 

Where:

15 x 6 = 90 

And a remainder of 100 – 90 = 10 is again produced.

Hence, we conclude our solution at the Quotient 0.066 and the Remainder 10.Pie Chart 1 by 15 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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