 # What Is 3/37 as a Decimal + Solution With Free Steps

The fraction 3/37 as a decimal is equal to 0.081.

In mathematics, the inverse operation of multiplication is a division which is also a basic operation. The division operation shows one number as a section or part of other numbers. In fraction form, it is represented as p/q. 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 3/37.

## 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 = 3

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 = 3 $\div$ 37

This is when we go through the Long Division solution to our problem. Figure 1

## 3/37 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 3 and 37, we can see how 3 is Smaller than 37, and to solve this division, we require that 3 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 3, which after getting multiplied by 10 becomes 37.

Since if 3 is multiplied by 10 it becomes 30, which is still a smaller value than 37, we multiply 30 by 10 again to make it 300. For this, we add a zero in the quotient just after the decimal point. It makes 300 bigger than 37 and divisions are possible now.

Now we begin solving our dividend 300

We take this 300 and divide it by 37; this can be done as follows:

300 $\div$ 37 $\approx$ 8

Where:

37 x 8 = 296

This will lead to the generation of a Remainder equal to 300 – 296 = 4. Now this means we have to repeat the process by Converting the 4 into 40 and solving for that:

40 $\div$ 37 $\approx$ 1

Where:

37 x 1 = 37

This, therefore, produces another Remainder which is equal to 40 – 37 = 3.

Finally, we have a Quotient generated after combining the three pieces of it as 0.081, with a Remainder equal to 3. Images/mathematical drawings are created with GeoGebra.