What Is 9/4 as a Decimal + Solution With Free Steps

9by4 As A Decimal

The fraction 9/4 as a decimal is equal to 2.25.

fraction is an arithmetic operation expressed in the form of a numerator over a denominator. Generally, any mathematical expression written in the form p/q is called a fraction.

Suppose a fraction has only integers in numerator and denominator. In that case, it is called a Simple Fraction, but if a fraction involves complex algebraic expressions or polynomials, it is called an Algebraic Fraction.

The decimal equivalent of 9/4 can be determined by simply dividing 9 by 4. A decimal number is a number that comprises a whole number and a fractional part. A decimal point distinguishes the whole number and the fractional part of the decimal. 

Let us find the decimal equivalent of the fraction 9/4 using the long division strategy.

Solution

Let’s first identify the dividend and divisor to convert 9/4 into a decimal number. The upper part of the fraction is termed a dividend, whereas the lower part is categorized as a denominator.

The dividend and divisor are:

Dividend = 9 

Divisor = 4

The division is explained as follows:

Dividend $\div$ Divisor = Quotient

The quotient of the division is the decimal equivalent of a given fraction. The division process is shown in figure 1:

9 4 as decimal

Figure 1

9/4 Long Division Method

Before explaining the division process, let us first realize the various components of the division process. The number in the division that is being divided is called a dividend.

The number by which the dividend is divided is called a divisor. The obtained result is a quotient, whereas the remaining or left-over part is called the remainder. Let’s start the division.

Firstly, divide 9 by 4. Since 9 is bigger than 4, a direct division is possible. Dividing 9 by 4 gives the following result:

9 $\div$ 4 $\approx$ 2

As 4 x 2 = 8, the remainder obtained is 1. To proceed with the division, add a decimal point to the quotient and make 1 as 10 by adding a zero. Now the division results in:

10 $\div$ 4 $\approx $ 2

Again the remainder obtained is 2. To continue with the division, add a zero to 2 and make it 20. Dividing 20 by 4 gives:

20 $\div$ 4 = 5

Now the remainder is zero. Hence, the division stops here as the rest is equal to 0. Therefore, the fraction 9/4 is equivalent to 2.25.

9 4 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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