**What Is 5 3/4 as a Decimal + Solution With Free Steps**

**The fraction 5 3/4 as a decimal is equal to 5.75.**

**M****ixed** **fraction** is the name given to the provided fraction. A mixed fraction is any fraction that contains both a whole number and an improper fraction. The three main categories of fractions are improper fractions, proper fractions, and mixed fractions.

It’s called an **improper** **fraction** when the fraction’s numerator is higher than its denominator. Similarly, a fraction with a denominator smaller than the numerator is known as a **proper** **fraction**.

In this case, we must change the mixed fraction of **5 3/4** into a decimal value. We must divide a fraction to get its decimal equivalent. In mathematics questions, the **division** also appears to be one of the trickiest operations, but there is a solution. **Long** **Division** is the technique we employ to resolve the fraction.

**Solution**

We will first change the given mixed fraction into an improper fraction. To do it, multiply the whole number by the denominator, then add the numerator to the result. Therefore, **23/4** is the corresponding mixed fraction of **5 3/4**.

Before beginning the solution, it is necessary to introduce the terms “**Dividend**” and “**Divisor**,” which are terms specific to dividends. The fraction’s numerator is the **dividend**, and its denominator is the **divisor**.

**Dividend = 23**

**Divisor = 4**

Here, we will introduce a new word, the **Quotient**, which is essentially the result of the fraction in decimal form.

**Quotient = Dividend $ \div $ Divisor = 23 $ \div $ 4**

The following is the **long** **division** method’s answer:

Figure 1

**23/4 Long Division Method**

By using the **long** **division** method, we may solve the fraction step-by-step as follows:

**23 $ \div $ 4**

We can divide the two values directly because the numerator is greater than the denominator.

Let’s introduce a new word right now. The **Remainder** is the number left behind when two numbers are not perfectly divisible by one another.

**23 $ \div $ 4 $ \approx $ 5**

Where:

**4 x 5 = 20**

We have a **remainder** of **3**.

Now that we have a remainder that is less than the divisor, we must multiply it by ten. To do that, we shall add the **decimal** **point** to the quotient’s value.

So now we have a **remainder** of **30**.

**30 $ \div $ 4 $ \approx $ 28**

Where:

**4 x 7 = 28**

So now we have a **remainder** of **2**. Again, we will multiply our remainder by ten to further progress our solution as we did in the previous step, but here there will not be a decimal point in the quotient because we already did that in the previous step.

**20 $ \div $ 4 $ = 5**

Where:

** 4 x 5 = 20**

As a result, the provided mixed fraction of **5 3/4** has a **Quotient** of **5.75** with the **remainder** being **0, **which is obtained by using the **Long** **Division** method.

*Images/mathematical drawings are created with GeoGebra.*