**What Is 11/16 as a Decimal + Solution With Free Steps?**

**The fraction 11/16 as a decimal is equal to 0.6875.**

**Division** could appear to be the most complex of all mathematical operations, but it is not that difficult because there is a way to handle this difficult issue. **Long Division** is the process of answering the question in fractional form.

Here is a comprehensive explanation of how to use the **long division** method to solve the given fraction, 11/16, and generate the decimal equivalent.

**Solution**

When we talk about the fraction it consists of two parts. The part above the fraction is known as the **Dividend,** and similarly, the lower part of the fraction is known as the **Divisor**.

**Dividend = 11**

**Divisor = 16**

When we solve the fraction, we produce a new term known as **Quotient,** which is the result of the fraction.

**Quotient = Dividend $\div$ Divisor = 11 $\div$ 16**

Now, by using the Long Division we can solve the problem as:

Figure 1

**11/16 Long Division Method**

Here are the steps of the **Long Division** method through which we can solve the desired division.

We had:

**11 $\div$ 16**

Since we have to divide the two numbers and in this case, we have a numerator value less than the denominator value, i.e. 11 is less than 16. So we have to add the decimal point first, after doing this we can multiply our Dividend by **10** and it will become **110**.

After dividing the terms, the remaining part is referred to as the **Remainder.**

**110 $\div$ 16 $\approx$ 6**

Where:

**16 x 6 = 96**

This indicates that a Remainder was also generated from this division, and it is equal to **110 – 96 = 14**. So after the first step, we have a remainder of **14**.

Since we have a remainder less than the divisor, so will multiply **10** with the remainder but this time no need to add the decimal point again because it already has been added with the **Quotient.**

From the previous step, the Remainder we have is **14**. So by multiplying it by** 10** we get **140**. So in the next step, we will divide the remainder with the divisor to further proceed with the method, and again no need to add the decimal point again because it is already in the quotient.

**140 $\div$ 16 $\approx$ 8**

Where:

**16 x 8 = 128**

The remainder we have after solving this is **12**, so by multiplying it by **10 **we now have **120**. So for the third decimal point, the solution is as follows:

**120 $\div$ 16 $\approx$ 7**

Where:

**16 x 7 = 112**

As a result, we have a resultant **Quotient** of **0.687** and a **Remainder** of 8. This suggests that if we keep solving, we might be able to get a more accurate and precise answer.

*Images/mathematical drawings are created with GeoGebra.*

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