The fraction 4/40 as a decimal is equal to 0.1.
Fractions of the form p/q are another way of expressing the division of a dividend p by a divisor q. In a fraction, the dividend is called the numerator and the divisor the denominator. As fractions are just alternate representations of division, they can be evaluated in the same way and all the concepts of division apply.
You are viewing: What Is 4 40
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 4/40.
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:
Read more : What To Wear In Nantucket
Dividend = 4
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 = 4 $div$ 40
This is when we go through the Long Division solution to our problem.
4/40 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 4 and 40, we can see how 4 is Smaller than 40, and to solve this division, we require that 4 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.
Read more : What Is Fly And Swap Vacations
Now, we begin solving for our dividend 4, which after getting multiplied by 10 becomes 40.
We take this 40 and divide it by 40; this can be done as follows:
40 $div$ 40 = 1
Where:
40 x 1 = 40
This will lead to the generation of a Remainder equal to 40 – 40 = 0. This means our division is complete, so we have the Quotient as 0.1 with a final remainder of 0.
Images/mathematical drawings are created with GeoGebra.
5/22 As A Decimal< Fractions to Decimals List > 4/32 As A Decimal
Source: https://t-tees.com
Category: WHAT
