What Is 36/49 as a Decimal + Solution With Free Steps

The fraction 36/49 as a decimal is equal to 0.734.

36 and 49, when written in the form of a ratio such that 36 is written on the top and 49 is written on the bottom form a Proper Fraction. This fraction contains 36 as a dividend or numerator and 49 as a divisor or denominator and on division gives a Decimal Value equal to 0.734.

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 36/49

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 = 36

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 = 36 $\div$ 49

This is when we go through the Long Division solution to our problem, which is given below in figure 1.

Figure 1

36/49 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 36 and 49, we can see how 36 is Smaller than 49, and to solve this division, we require that 36 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 36, which after getting multiplied by 10 becomes 360.

We take this 360 and divide it by 49; this can be done as follows:

360 $\div$ 49 $\approx$ 7

Where:

49 x 7 = 343

This will lead to the generation of a Remainder equal to 360 – 343 = 17. Now this means we have to repeat the process by Converting the 17 into 170 and solving for that:

170 $\div$ 49 $\approx$ 3

Where:

49 x 3 = 147

This, therefore, produces another Remainder which is equal to 170 – 147 = 23. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 230.

230 $\div$ 49 $\approx$ 4

Where:

49 x 4 = 196

Finally, we have a Quotient generated after combining the three pieces of it as 0.734=z, with a Remainder equal to 34.

Images/mathematical drawings are created with GeoGebra.