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What Is 7/35 as a Decimal + Solution With Free Steps

The fraction 7/35 as a decimal is equal to 0.2.

Proper fractions, improper fractions, and mixed fractions are the three types of Fractions. Improper fractions are those in which the numerator is greater than the denominator, whereas Proper fractions are those in which the numerator is less than the denominator. An improper fraction and a whole number combine to form a Mixed fraction.

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 7/35.

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 = 7

Divisor = 35

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 = 7 $\div$ 35

This is when we go through the Long Division solution to our problem.

As a decimal

Figure 1

7/35 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 35, we can see how 7 is Smaller than 35, and to solve this division, we require that 7 be Bigger than 35.

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 7, which after getting multiplied by 10 becomes 70.

We take this 70 and divide it by 35; this can be done as follows:

 70 $\div$ 35 = 2

Where:

35 x 2 = 70

This will lead to the generation of a Remainder equal to 70 – 70 = 0.

So, we have a Quotient generated as 0.2=z, with a Remainder equal to 0.

Images/mathematical drawings are created with GeoGebra.

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