What Is 24/49 as a Decimal + Solution With Free Steps
The fraction 24/49 as a decimal is equal to 0.489.
Fraction denotes the division process between two non-zero numbers. Due to this, it is also defined as a ratio of two numerals. The two numbers a and b are written as a/b as a fraction. Here a is the number being divided by the number b.
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 24/49.
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 = 24
Divisor = 49
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 = 24 $\div$ 49
This is when we go through the Long Division solution to our problem, which is shown in figure 1.
24/49 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 24 and 49, we can see how 24 is Smaller than 49, and to solve this division, we require that 24 be Bigger than 49.
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 24, which after getting multiplied by 10 becomes 240.
We take this 240 and divide it by 49; this can be done as follows:
240 $\div$ 49 $\approx$ 4
49 x 4 = 196
This will lead to the generation of a Remainder equal to 240 – 196 = 44. Now this means we have to repeat the process by Converting the 44 into 440 and solving for that:
440 $\div$ 49 $\approx$ 8
49 x 8 = 392
This, therefore, produces another Remainder which is equal to 440 – 392 = 48. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 480.
480 $\div$ 49 $\approx$ 9
49 x 9 = 441
Finally, we have a Quotient generated after combining the three pieces of it as 0.489=z, with a Remainder equal to 39.
Images/mathematical drawings are created with GeoGebra.