What Is 37/50 as a Decimal + Solution With Free Steps

The fraction 37/50 as a decimal is equal to 0.74.

Any fraction in the form of ‘p/q’ can be converted to a decimal. Some fraction gives a total integer as a quotient whereas on the other hand, it is also possible that some might result in a decimal quotient.

Here, we are interested more in the types of division that results 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.

37 50 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 37/50.

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 seen done as follows:

Dividend = 37

Divisor = 50

Now, we introduce the most important quantity in our process of division, this is 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 = 37 $\div$ 50

This is when we go through the Long Division solution to our problem. The result of long division for the given fraction is shown in figure.

37/50 Long Division Method

37/50 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 37, and 50 we can see how 37 is Smaller than 50, and to solve this division we require that 37 be Bigger than 50.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. And if it is then we calculate the Multiple of the divisor which is 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 37, which after getting multiplied by 10 becomes 370.

We take this 370 and divide it by 50, this can be seen done as follows:

 370 $\div$ 50 $\approx$ 7

Where:

50 x 7 = 350

This will lead to the generation of a Remainder equal to 370 – 350 = 20, now this means we have to repeat the process by Converting the 20 into 200 and solving for that:

200 $\div$ 50 = 4 

Where:

50 x 4 = 200

As the remainder here becomes zero, the long division stops at this point.

Finally, we have a Quotient generated after combining the two pieces of it as 0.74, with a Remainder equal to 0.

37 by 50 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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