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.


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.

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