What Is 14/60 as a Decimal + Solution With Free Steps
The fraction 14/60 as a decimal is equal to 0.233333333.
A Fraction is a mathematical expression used to divide an object or number into a certain number of equal pieces. The numerator and denominator, which are two parts of the fraction, are divided to solve it and get the answer as 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 14/60.
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 = 14
Divisor = 60
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 = 14 $\div$ 60
This is when we go through the Long Division solution to our problem.
14/60 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 14, and 60, we can see how 14 is Smaller than 60, and to solve this division we require that 14 be Bigger than 60.
This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. And 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.
Now, we begin solving for our dividend 14, which after getting multiplied by 10 becomes 140.
We take this 140 and divide it by 60, this can be seen done as follows:
140 $\div$ 60 $\approx$ 2
60 x 2 = 120
This will lead to the generation of a Remainder equal to 140 – 120 = 20, now this means we have to repeat the process by Converting the 20 into 200 and solving for that:
200 $\div$ 60 $\approx$ 3
60 x 3 = 180
This, therefore, produces another remainder which is equal to 200 – 180 = 20.
Finally, we have a Quotient generated after combining the pieces of it as 0.23= z, with a Remainder equal to 20.
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