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What Is 14/42 as a Decimal + Solution With Free Steps

The fraction 14/42 as a decimal is equal to 0.333.

Fractions can produce two types of decimals when solved which are terminating and non-terminating decimals. Terminating means a finite number of digits and non-terminating means an infinite number of digits.

The non-terminating can be further divided into two types. In recurring decimals, there is a fixed set of digits after the right of the decimal that repeats itself. While non-recurring does not have any repeating digits.

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

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 14/42.

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 done as follows:

Dividend = 14

Divisor = 42

Now, we introduce the most important quantity in our division process: 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 = 14 $\div$ 42

This is when we go through the Long Division solution to our problem. The solution is shown in figure 1 given below.

14/42 Long Division Method

Figure 1

14/42 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 14 and 42, we can see how 14 is Smaller than 42, and to solve this division, we require that 14 be Bigger than 42.

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

Now, we begin solving for our dividend 14, which after getting multiplied by 10 becomes 140.

We take this 140 and divide it by 42; this can be done as follows:

 140 $\div$ 42 $\approx$ 3

Where:

42 x 3 = 126

This will lead to the generation of a Remainder equal to 140 – 126 = 14. Now this means we have to repeat the process by Converting the 14 into 140 and solving for that:

140 $\div$ 42 $\approx$ 3

Where:

42 x 3 = 126

This, therefore, produces another Remainder equal to 140 – 126 = 14. Now we must solve this problem to the Third Decimal Place for accuracy, so we repeat the process with dividend 140.

140 $\div$ 42 $\approx$ 3

Where:

42 x 3 = 126

Finally, we have a Quotient generated after combining the three pieces of it as 0.333, with a Remainder equal to 14.

Images/mathematical drawings are created with GeoGebra.

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