What Is 1/45 as a Decimal + Solution With Free Steps

The fraction 1/45 as a decimal is equal to 0.022.

Fractions of the form p/q are commonly used in mathematics to represent the basic mathematical operation of division p $\boldsymbol\div$ q. Therefore, a fraction can be evaluated in the same way as a division, producing either an integer value or a decimal. In fractions, p is the numerator (dividend), and q is the denominator (divisor).

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.

1 45 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 1/45.

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 = 1

Divisor = 45

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 = 1 $\div$ 45

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

1/45 Long Division Method

Figure 1

1/45 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 1 and 45, we can see how 1 is Smaller than 45, and to solve this division, we require that 1 be Bigger than 45.

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.

In our case, however, 1 x 10 = 10 is still smaller than 45. Thus, we must multiply again by 10 to get 10 x 10 = 100, which is now greater than 45. To indicate this double multiplication by 10, we add a decimal “.” and a 0 as the first digit of our quotient.

Now, we begin solving for our dividend 1, which after getting multiplied by 100 becomes 100.

We take this 100 and divide it by 45; this can be done as follows:

 100 $\div$ 45 $\approx$ 2

Where:

45 x 2 = 90

We add 2 as the second digit of our quotient. This will lead to the generation of a Remainder equal to 100 – 90 = 10. Now this means we have to repeat the process by Converting the 10 into 100 and solving for that:

100 $\div$ 45 $\approx$ 2 

Where:

45 x 2 = 90

Again, we add 2 as the third digit of our quotient. This, therefore, produces another Remainder which is equal to 100 – 90 = 10. We have three decimal places now, so we combine them to get the Quotient as 0.022, with a final remainder of 10.

1 45 Quotient and Remainder

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