# What Is 1/52 as a Decimal + Solution With Free Steps

**The fraction 1/52 as a decimal is equal to 0.019.**

The fractions are represented in the form of **p/q** where ‘**p**‘ is the numerator and ‘**d**‘ is the denominator. The fractions can be categorized as proper, improper, and mixed fractions. As the numerator is smaller than the denominator in the provided fraction, so it is a **proper** fraction.

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 **1/52**.

## 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 = 52**

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 $\div$ 52**

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

## 1/52 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 **52,** we can see how **1** is **Smaller** than **52**, and to solve this division, we require that 1 be **Bigger** than 52.

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 **1**, which after getting multiplied by **10** becomes **10**.

But it is smaller than the division which is 52. To make it bigger than the divisor we multiply the dividend by 10 again by putting a zero in the quotient after the decimal point. Now we can perform the division.

*We take this 100 and divide it by 52; this can be seen done as follows:*

** 100 $\div$ 52 $\approx$ 1**

Where:

**52 x 1 = 52**

This will lead to the generation of a **Remainder** equal to **100 – 52 = 48**. Now this means we have to repeat the process by **Converting** the **48** into **480** and solving for that:

**480 $\div$ 52 $\approx$ 9 **

Where:

**52 x 2 = 468**

This, therefore, produces another remainder which is equal to **480**** – 468 = 12**.

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.019**, with a **Remainder** equal to **12**.

*Images/mathematical drawings are created with GeoGebra.*