What Is 39/46 as a Decimal + Solution With Free Steps
The fraction 39/46 as a decimal is equal to 0.84782609.
Fractions have basically three types: proper fractions, improper fractions, and mixed fractions. We convert fractions into Decimal values because decimal values can be more useful in mathematical problems.
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 39/46.
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 = 39
Divisor = 46
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 = 39 $\div$ 46
This is when we go through the Long Division solution to our problem. The following figure shows the long division:
39/46 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 39 and 46, we can see how 39 is Smaller than 46, and to solve this division, we require that 39 be Bigger than 46.
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 39, which after getting multiplied by 10 becomes 390.
We take this 390 and divide it by 46; this can be done as follows:
390 $\div$ 46 $\approx$ 8
46 x 8 = 368
This will lead to the generation of a Remainder equal to 390 – 368 = 22. Now this means we have to repeat the process by Converting the 22 into 220 and solving for that:
220 $\div$ 46 $\approx$ 4
46 x 4 = 184
This, therefore, produces another Remainder which is equal to 220 – 184 = 36. Now we must solve this problem to the Third Decimal Place for accuracy, so we repeat the process with dividend 360.
360 $\div$ 46 $\approx$ 7
46 x 7 = 322
Finally, we have a Quotient generated after combining the three pieces of it as 0.847=z, with a Remainder equal to 38.
Images/mathematical drawings are created with GeoGebra.