What Is 1/29 as a Decimal + Solution With Free Steps

The fraction 1/29 as a decimal is equal to 0.034.

Decimals are the more precise ways to represent the portions of a thing. The decimals can be of two types which are terminating and non-terminating decimals.

The non-terminating decimals are further classified as repeating and non-repeating decimals. The fraction 1/29 upon solving gives a non-terminating decimal.

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.

1 29 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 1/29.


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 = 1

Divisor = 29

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 = 1 $\div$ 29

This is when we go through the Long Division solution to our problem. The below figure demonstrates the long division for fraction 1/29.

1/29 Long Division Method

Figure 1

1/29 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 29, we can see how 1 is Smaller than 29, and to solve this division, we require that 1 be Bigger than 29.

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.

Since 1 when multiplied by 10 becomes 10 which is still smaller than 29. Therefore we will multiply 10 by 10 again and add a zero in the quotient after the decimal point. By doing this the dividend will become 100 which is bigger than 100 and hence divisible by 29.

Now, we begin solving for our dividend 100.

We take this 100 and divide it by 29; this can be done as follows:

 100 $\div$ 29 $\approx$ 3


29 x 3 = 87

This will lead to the generation of a Remainder equal to 100 – 87 = 13. Now this means we have to repeat the process by Converting the 13 into 130 and solving for that:

130 $\div$ 29 $\approx$ 4 


29 x 4 = 116

Finally, we have a Quotient generated after combining the three pieces of it as 0.034, with a Remainder equal to 14.

1_29 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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