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What Is 46/99 as a Decimal + Solution With Free Steps

The fraction 46/99 as a decimal is equal to 0.464.

Fractions are used to describe the division of a bigger thing into smaller parts. There are two main types of fractions. The first one is a simple fraction whose numerator and denominator both are integers. 

On the other hand, a complex fraction means a fraction in which either numerator or denominator or both of them are fractions. In simple words, there is a fraction within a fraction.

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 46/99.

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 = 46

Divisor = 99

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 $\div$ 99

This is when we go through the Long Division solution to our problem. Figure 1 contains the solution for the current fraction.

46/99 Long Division Method

Figure 1

46/99 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 99, we can see how 46 is Smaller than 99, and to solve this division, we require that 46 be Bigger than 99.

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 99; this can be done as follows:

 460 $\div$ 99 $\approx$ 4

Where:

99 x 4 = 396

This will lead to the generation of a Remainder equal to 460 – 396 = 64. Now this means we have to repeat the process by Converting the 64 into 640 and solving for that:

640 $\div$ 99 $\approx$ 6 

Where:

99 x 6 = 594

This, therefore, produces another Remainder which is equal to 640 – 594 = 46. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 460.

460 $\div$ 99 $\approx$ 4 

Where:

99 x 4 = 396

Finally, we have a Quotient generated after combining the three pieces of it as 0.464, with a Remainder equal to 64.Pie Chart 46 by 99 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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