**What Is 1/16 as a Decimal + Solution With Free Steps**

**The fraction 1/16 as a decimal is equal to 0.0625.**

A **Fraction** is a mathematical expression that shows how many parts we can divide a number. In a fraction, a line divides the numerator and denominator, which are its components. The number present above the line is the **Numerator**, and the number below the line is the **Denominator**.

The given example shows the conversion of a fraction **1/16** into its decimal by the **Long Division** method.

**Solution**

The best way to solve a fraction is by converting it to division. Components of the division include **Dividend** and** Divisor**, which represent the number that is divided and the number that is dividing, respectively.

When we transform **1/16** into a division, we get a dividend equal to **1** and a divisor equal to **16**.

**Dividend = 1**

**Divisor = 16 **

After solving this fraction, we get a result in the form of a **Quotient**. But sometimes, we are unable to solve a fraction completely and get some left-over number, which is known as a **Remainder**.

**Quotient = Dividend $\div$ Divisor = 1 $\div$ 16**

Here, the solution of fraction **1/16** by using the method of **Long Division** is presented.

Figure 1

**1/16 Long Division Method**

We have the fraction as:

**1 $\div$ 16 **

To simplify any fractional expression, we first determine if it is a **Proper** or an **Improper Fraction**. In the case of a proper fraction, the equivalent decimal value is less than **1**, and a Decimal point is required.

As in the given example, as **1** is less than **16**, so we must insert a **Decimal Point** in the quotient. This is done by multiplying the dividend **1** by **10**. Hence, we get **10** to divide by **16**.

In the division process, first, the multiple of the divisor that is closest to the dividend is determined and then it is subtracted from the dividend. Thus, we multiply **16** by zero and then subtract it from **10**.

**10 $\div$ 6 $\approx$ 0**

Where:

**16 x 0 = 0**

A remainder of 16 is produced.

**10– 0 = 10**

Now, we again multiply the remainder by **10**, but without adding any decimal point, because it is already present in the quotient.

Therefore, now we have **100** to divide by **16**.

**100 $\div$ 6 $\approx$ 6**

Where:

**16 x 6 = 96 **

The remaining value is calculated as:

**100– 96 = 4**

Remainder **4** becomes **40** by multiplying it with **10**.

**40 $\div$ 16 $\approx$ 2**

Where:

** 16 x 2 = 32**

40– 32 = 8 is the remainder and we make it **80** by the multiplication with **10**. We proceed with our calculations as follows:

**80 $\div$ 16 $\approx$ 5**

Where:

** 16 x 5 = 80 **

As **80** is a multiple of **16**, so we get no remaining value this time.

**80– 80 = 0**

This shows that the fraction is completely simplified and **0.0625** is calculated as the **Quotient.**

*Images/mathematical drawings are created with GeoGebra.*