What Is 60/75 as a Decimal + Solution With Free Steps

The fraction 60/75 as a decimal is equal to 0.8.

The decimal form and the fractional form are interchangeable. The fractional form can be converted to the decimal form by applying the long division method. It is the most popular method for this conversion. When the long division is applied on the fraction 60/75 it results in a terminating decimal.

60 75 as a decimal

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 60/75.


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 = 60

Divisor = 75

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 = 60 $\div$ 75

This is when we go through the Long Division solution to our problem. The solution for fraction 60/75 is shown in the figure below.

60/75 Long Division Method

Figure 1

60/75 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 60 and 75, we can see how 60 is Smaller than 75, and to solve this division, we require that 60 be Bigger than 75.

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 60, which after getting multiplied by 10 becomes 600.

We take this 600 and divide it by 75; this can be done as follows:

 600 $\div$ 75 = 8 


75 x 8 = 600

After only one step, we have a Quotient generated after combining the one piece of it as 0.6 with a Remainder equal to 0.Pie Chart 60 by 75 Long Division Method

Images/mathematical drawings are created with GeoGebra. 

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