What Is 1/14 as a Decimal + Solution With Free Steps

The fraction 1/14 as a decimal is equal to 0.071.

Fractions are often used in mathematics to represent the parts of a thing. There are three types of fractions possible which are proper, improper, and mixed fractions. As in the given fraction numerator ‘1‘ is less than the denominator ‘14‘ so it is a proper fraction.

Here, we are interested more in the types of division that results 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.

1 14 as a decimal

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 1/14.

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 seen done as follows:

Dividend = 1

Divisor = 14

Now, we introduce the most important quantity in our process of division, this is 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 = 1 $\div$ 14

This is when we go through the Long Division solution to our problem. The fraction 1/14 is solved using long division and the results are shown in figure.

1-14-as-a-decimal

1/14 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 1, and 14 we can see how 1 is Smaller than 14, and to solve this division we require that 1 be Bigger than 14.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. And if it is then we calculate the Multiple of the divisor which is closest to the dividend and subtract it from the Dividend. This produces the Remainder which we then use as the dividend later.

Since if 1 is multiplied by 10 it becomes 10, which is still a smaller value than 14, so we multiply 10 by 10 again to make it 100. For this, we add a zero in the quotient just after the decimal point. It makes 100 bigger than 14 and division is possible now.

Now, we begin solving for our dividend 100.

We take this 100 and divide it by 14, this can be seen done as follows:

 100 $\div$ 14 $\approx$ 7

Where:

14 x 7 = 98

This will lead to the generation of a Remainder equal to 100 – 98 = 2, now this means we have to repeat the process by Converting the 2 into 20 and solving for that:

20 $\div$ 14 $\approx$ 1 

Where:

14 x 1 = 14

Finally, we have a Quotient generated after combining the three pieces of it as 0.071, with a Remainder equal to 6.

1 by 14 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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