What Is 4/37 as a Decimal + Solution With Free Steps

The fraction 4/37 as a decimal is equal to 0.108.

The fractions can be converted to their equivalent decimals. Fractions are primarily used to represent rational numbers. The decimal expansion of rational numbers shows both types of decimals terminating and non-terminating. The decimal expansion of the fraction 4/37 results in a non-terminating recurring decimal.

4 37 as a 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.

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 4/37.


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 = 4

Divisor = 37

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 = 4 $\div$ 37

This is when we go through the Long Division solution to our problem. The following figure shows the solution for fraction 4/37.

4/37 Long Division Method

Figure 1

4/37 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 4 and 37, we can see how 4 is Smaller than 37, and to solve this division, we require that 4 be Bigger than 37.

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 4, which after getting multiplied by 10 becomes 40.

We take this 40 and divide it by 37; this can be done as follows:

 40 $\div$ 37 $\approx$ 1


37 x 1 = 37

This will lead to the generation of a Remainder equal to 40 – 37 = 3. Now, this means we have to repeat the process by Converting the 3 into 30.

However, 30 is still smaller than 37. Therefore we will multiply 30 by 10 again and add a zero in the quotient after the decimal point. By doing this the dividend will become 300 which is bigger than 37.

300 $\div$ 37 $\approx$ 8


37 x 8 = 296

Finally, we have a Quotient generated after combining the three pieces of it as 0.108, with a Remainder equal to 4.Pie Chart 4 by 37 Long Division Method

Images/mathematical drawings are created with GeoGebra. 

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