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What Is 7/100 as a Decimal + Solution With Free Steps

The fraction 7/100 as a decimal is equal to 0.07.

We know that Division is one of the four primary operators of mathematics, and there are two types of divisions. One solves completely and results in an Integer value, whilst the other doesn’t solve to completion, therefore, producing a Decimal value.

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.

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 7/100.

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 = 7

Divisor = 100

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 = 7 $\div$ 100

This is when we go through the Long Division solution to our problem. Following given is the long division process shown in figure 1:

Figure 1

7/100 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 100 we can see how 7 is Smaller than 100, and to solve this division we require that 7 be Bigger than 100.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. 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.

Since 7 when multiplied by 10 becomes 70 which is still smaller than 100. Therefore we will multiply 70 by 10 again and add a zero in the quotient after the decimal point. By doing this the dividend will become 700 which is bigger than 100 and hence divisible by 100. 

Now, we begin solving for our dividend 7, which after getting multiplied by 100 becomes 700.

We take this 700 and divide it by 100, this can be seen done as follows:

700 $\div$ 100 = 7

Where:

100 x 7 = 700

This will lead to the generation of a Remainder equal to 700 – 700 = 0. Therefore further division is not possible and the decimal equivalent of 7/100 is 0.07.

Finally, we have a Quotient generated as 0.07 with a Remainder equal to 0.

Images/mathematical drawings are created with GeoGebra.

Fractions to Decimals List

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