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What Is 28/40 as a Decimal + Solution With Free Steps

The fraction 28/40 as a decimal is equal to 0.7.

A Decimal Number is a numerical quantity that has two parts a whole number value and the fractional value of that whole number. e.g. 1.5 is a decimal value where 1 is the whole number and 0.5 is the fractional value of 1.

Here, we are more interested in the division types that result in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers.

Now, we introduce the method used to solve said fraction to decimal conversion, called Long Division, which we will discuss in detail moving forward. So, let’s go through the Solution of fraction 28/40.

Solution

First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the Dividend and the Divisor, respectively.

This can be done as follows:

Dividend = 28

Divisor = 40

Now, we introduce the most important quantity in our division process: the Quotient. The value represents the Solution to our division and can be expressed as having the following relationship with the Division constituents:

Quotient = Dividend $\div$ Divisor = 28 $\div$ 40

This is when we go through the Long Division solution to our problem. The following figure shows the long division:

As a decimal

Figure 1

28/40 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the division’s components and comparing them. As we have 28 and 40, we can see how 28 is Smaller than 40, and to solve this division, we require that 28 be Bigger than 40.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the Dividend. This produces the Remainder, which we then use as the dividend later.

Now, we begin solving for our dividend 28, which after getting multiplied by 10 becomes 280.

We take this 280 and divide it by 40; this can be done as follows:

 280 $\div$ 40 = 7

Where:

40 x 7 = 280

The Remainder equals 280 – 280 = 0 and a Quotient 0.7=z.

Images/mathematical drawings are created with GeoGebra.

Fractions to Decimals List

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