What Is 46/100 as a Decimal + Solution With Free Steps

The fraction 46/100 as a decimal is equal to 0.46.

By using the Division operator, Fractions are transformed into Decimal forms. Fractional division appears to be a little challenging, but it is not. To make fractions simpler to understand, they are converted to decimal values.

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.

46 100 as a decimal

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 46/100.


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 = 46

Divisor = 100

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 = 46 $\div$ 100

This is when we go through the Long Division solution to our problem.

46/100 Long Division Method

Figure 1

46/100 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 46 and 100, we can see how 46 is Smaller than 100, and to solve this division, we require that 46 be Bigger than 100.

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 46, which after getting multiplied by 10 becomes 460.

We take this 460 and divide it by 100; this can be done as follows:

 460 $\div$ 100 $\approx$ 4


100 x 4 = 400

This will lead to the generation of a Remainder equal to 460 – 400 = 60. Now this means we have to repeat the process by Converting the 60 into 600 and solving for that:

600 $\div$ 100 = 6


100 x 6 = 600

Finally, we have a Quotient generated after combining the pieces of it as 0.46=z, with a Remainder equal to 0.

46 100 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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