What Is 7/37 as a Decimal + Solution With Free Steps
The fraction 7/37 as a decimal is equal to 0.189.
One of the fundamental operations in mathematics is called “Division,” which can also be expressed mathematically as the fraction, which is sometimes more helpful in solving or simplifying complicated mathematical expressions. A fraction has the form “p/q,” where p is the numerator (top entity), and q is the denominator (bottom entity).
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 7/37. The following figure shows the long division process:
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 = 7
Divisor = 37
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 = 7 $\div$ 37
This is when we go through the Long Division solution to our problem.
7/37 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 7 and 37, we can see how 7 is Smaller than 37, and to solve this division, we require that 7 be Bigger than 37.
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 7, which after getting multiplied by 10 becomes 70.
We take this 70 and divide it by 37; this can be done as follows:
70 $\div$ 37 $\approx$ 1
37 x 1 = 37
This will lead to the generation of a Remainder equal to 70 – 37 = 33. Now this means we have to repeat the process by Converting the 33 into 330 and solving for that:
330 $\div$ 37 $\approx$ 8
37 x 8 = 296
This, therefore, produces another Remainder which is equal to 330 – 296 = 34. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 340.
340 $\div$ 37 $\approx$ 9
37 x 9 = 333
Finally, we have a Quotient generated after combining the three pieces of it as 0.189=z, with a Remainder equal to 7.
Images/mathematical drawings are created with GeoGebra.