What Is 63/75 as a Decimal + Solution With Free Steps

The fraction 63/75 as a decimal is equal to 0.84.

A Fraction can be converted into a Decimal value; at the same time, a decimal value can be represented in the form of a fraction. For example, on solving fraction 5/4 (dividing 5 with 4 through the Long Division Method) we get a decimal value of 1.25 whereas, a decimal value 1.5 can be represented as fraction 3/2.

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.

63 75 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 63/75.

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 = 63

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 = 63 $\div$ 75

This is when we go through the Long Division solution to our problem. The following figure shows the long division:

63/75 Long Division Method

Figure 1

63/75 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 63 and 75, we can see how 63 is Smaller than 75, and to solve this division, we require that 63 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 63, which after getting multiplied by 10 becomes 630.

We take this 630 and divide it by 75; this can be seen done as follows:

 630 $\div$ 75 $\approx$ 8

Where:

75 x 8 = 600

This will lead to the generation of a Remainder equal to 630 – 600 = 30. Now this means we have to repeat the process by Converting the 30 into 300 and solving for that:

300 $\div$ 75 = 4

Where:

75 x 4 = 300

This, therefore, produces another remainder which is equal to 300 – 300 = 0. Now we stop solving this problem. We have a Quotient generated after combining the two pieces of it as 0.84 = z, with a Remainder equal to 0.

63 75 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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