**What Is 5 7/8 as a Decimal + Solution With Free Steps**

**The fraction 5 7/8 as a decimal is equal to 5.875.**

An expression that depicts the mathematical operation of division applied to two numerical is known as a **Fraction**. The way to represent a fraction is in the form of p/q, where both p and q should be greater than zero.

A resulting number that can be whole or decimal is obtained when both p and q are divided. The term “**decimal**” refers to any value that falls between two whole numbers.

Decimals are thought to be more comprehensible and feasible to use in arithmetic operations when a comparison is made. As a result, fractions are generally turned to decimal values before being used in calculations or mathematical operations.

This article provides a step-by-step guide for converting a fraction into a decimal using the **Long Division **method.

**Solution**

**5 7/8** is a type of fraction known as a **Mixed Fraction**, and it is necessary to be converted into an improper fraction for an accurate solution. The improper fraction equivalent to **5 7/8 **is **47/8**. Now **Long Division **will be performed to get our answer.

First, from this fraction, **Dividend** and **Divisor** are extracted and are determined as:

**Dividend = 47**

**Divisor = 8**

The **Quotient** or answer of a division is stated as:

**Quotient = Dividend $\div$ Divisor = 47 $\div$ 8**

If we are left with some value at the end of the division, we call this value the **Remainder**.

Figure 1

**5 7/8 Long Division Method**

To show the complete procedure of the **Long** **Division** method, an example is illustrated below where a fraction of **5 7/8** is solved.

**5 7/8** is equivalent to:

**47 $\div$ 8**

As we have an improper fraction, **8** will divide **47,** as shown in the mathematical details below.

**47 $\div$ 8 \approx 5**

**8 x 5 = 40**

After the first step of division, we have **7** as a residual value

**47 – 40 = 7**

For the next step, **7** is to act as a dividend, but since it is less than **8**, the divisor. So, we will continue by putting a **Decimal** **Point** in the **Quotient** and making it **70**.

Now **8** will be used to divide **70**.

**70 $\div$ 8 \approx 8**

**8 x 8 = 64**

Now **70 –64 =6 **is acquired by us as the remainder.

Repeating the above process, **6** will be transformed into **60** for the next division step.

**60 $\div$ 8 \approx 7**

**8 x 7 = 56 **

**60 – 56 = 4** is generated value of the remainder this time, which gives us **40**.

**40 $\div$ 8 = 5**

**8 x 5 = 40 **

As **40** is a multiple of **5**, zero remainders are produced now.

**40 –40 =0.**

Therefore, we conclude that fraction **5 7/8** has a decimal value of **5.875** with zero remainders.

*Images/mathematical drawings are created with GeoGebra.*