What Is 13/24 as a Decimal + Solution With Free Steps

The fraction 13/24 as a decimal is equal to 0.541.

Decimals are numbers that contain digits separated by a decimal point. They are used to represent fractions of a whole thing. Recurring decimals mean that have repeating digits while non-recurring means that have digits that are not repeating themselves.

The current fraction 13/24 gives a recurring infinite decimal.

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.

13 24 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 13/24.

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 = 13

Divisor = 24

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 = 13 $\div$ 24

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

13/24 Long Division Method

Figure 1

13/24 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 13 and 24, we can see how 13 is Smaller than 24, and to solve this division, we require that 13 be Bigger than 24.

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 13, which after getting multiplied by 10 becomes 130.

We take this 130 and divide it by 24; this can be done as follows:

130 $\div$ 24 $\approx$ 5

Where:

24 x 5 = 120

This will lead to the generation of a Remainder equal to 130 – 120 = 10. Now this means we have to repeat the process by Converting the 10 into 100 and solving for that:

100 $\div$ 24 $\approx$ 4 

Where:

24 x 4 = 96

This, therefore, produces another Remainder which is equal to 100 – 96 = 4. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 40.

40 $\div$ 24 $\approx$ 1

Where:

24 x 1 = 24

Finally, we have a Quotient generated after combining the three pieces of it as 0.541, with a Remainder equal to 16.

13 24 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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