What Is 4 3 8 As A Decimal - T-Tees - Your Answers Await, Life's Questions Unraveled

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The fraction 4 3/8 as a decimal is equal to 4.375.

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The term “mixed fraction” refers to the given fraction. Improper fractions and whole numbers are both present in mixed fractions. Improper fractions, proper fractions, and mixed fractions are the three basic forms of fractions.

A fraction is considered improper when its numerator is higher than its denominator. Similarly, a fraction is referred to as a proper fraction if the numerator is less than the denominator.

The mixed fraction of 4 3/8 that is supplied here needs to be converted into a decimal value. The division is necessary to change a fractional value into a decimal value. Additionally, division appears to be one of the trickiest operations in mathematical problems, yet there is a solution.

We employ the Long Division approach to solve the fraction.

Solution

The specified mixed fraction will first be changed into an improper fraction. For that, we will add the numerator to the total after multiplying the whole number by the denominator. Thus, 35/8 is equal to the given mixed fraction of 4 3/8.

Before beginning the solution, it is necessary to introduce words that are specific to division, namely Dividend and Divisor. The fraction’s denominator is the divisor, and its numerator is the dividend.

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Dividend = 35

Divisor = 8

The Quotient, which is just the outcome of the fraction in decimal value, is a new phrase that we shall now present.

Quotient = Dividend $ div $ Divisor = 35 $ div $ 8

Using the long division approach, the answer is as follows:

Figure 1

35/8 Long Division Method

The long division method can be used to solve the fraction as shown below:

35 $ div $ 8

Given that the numerator is greater than the denominator in this situation, we can divide the two numbers directly.

A new phrase will now be used. The Remainder is the number left over after two numbers are divided if they are not exactly divisible by one another.

35 $ div $ 8 $ approx $ 4

Where:

8 x 4 = 32

After this step, we have a remainder of 3.

In this instance, the remainder is less than the divisor, so we must multiply it by ten. We will do that by adding the decimal point to the quotient.

By doing so, it becomes 30.

30 $ div $ 8 $ approx $ 3

Where:

8 x 3 = 24

After this step, we have a remainder of 6, so by multiplying our remainder again with ten, we end up having a remainder of 60. We will not add the decimal point to the quotient here because it has already been added in the previous step.

60 $ div $ 8 $ approx $ 7

Where:

8 x 7 = 56

With the remainder being 4, the resultant Quotient of the given mixed fraction of 4 3/8 is 4.37. We can solve it further to obtain a more accurate result.