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What Is 5/63 as a Decimal + Solution With Free Steps

The fraction 5/63 as a decimal is equal to 0.079.

Numbers when represented as a form of ratio are known as fractions. Rational numbers are numbers that can be written in the form of a ratio. Whereas numbers that cannot be written as a fraction are called irrational numbers.

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 5/63.

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 = 5

Divisor = 63

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 = 5 $\div$ 63

This is when we go through the Long Division solution to our problem. The solution can be seen in figure 1 given below.

5/63 Long Division Method

Figure 1

5/63 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 5 and 63, we can see how 5 is Smaller than 63, and to solve this division, we require that 5 be Bigger than 63.

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.

After multiplying the dividend by 10, the resultant value is 50 which is still smaller than the divisor. To make it larger than the divisor we put a zero in the decimal point so that it is again multiplied by 10 to get 500 as the dividend.

Now, we begin solving for our dividend 500.

We take this 500 and divide it by 63; this can be done as follows:

 500 $\div$ 63 $\approx$ 7

Where:

63 x 7 = 441

This will lead to the generation of a Remainder equal to 500 – 441 = 59. Now this means we have to repeat the process by Converting the 59 into 590 and solving for that:

590 $\div$ 63 $\approx$ 9

Where:

63 x 9 = 567

Finally, we have a Quotient generated after combining the three pieces of it as 0.079, with a Remainder equal to 23.

5_63 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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