What Is 16/34 as a Decimal + Solution With Free Steps
The fraction 16/34 as a decimal is equal to 0.4705.
A fraction represents part of a whole expressed through a numerator and a denominator. It can be a portion of any quantity. There are two types of fractions one is a proper fraction and the second is an improper fraction. The fraction 16/34 is a proper fraction because the denominator is greater than the numerator.
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 16/34.
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 = 16
Divisor = 34
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 = 16 $\div$ 34
This is when we go through the Long Division solution to our problem. The following figure shows the solution for fraction 16/34.
16/34 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 16 and 34, we can see how 16 is Smaller than 34, and to solve this division, we require that 16 be Bigger than 34.
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 x, which after getting multiplied by 10 becomes 160.
We take this 160 and divide it by 34; this can be done as follows:
160 $\div$ 34 $\approx$ 4
34 x 7 = 136
This will lead to the generation of a Remainder equal to 160 – 136 = 24. Now this means we have to repeat the process by Converting the 24 into 240 and solving for that:
240 $\div$ 34 $\approx$ 7
34 x 7 = 238
This, therefore, produces another Remainder which is equal to 240 – 238 = 2. Now we must solve this problem to Third Decimal Place for accuracy.
However, 2 when multiplied by 10 becomes 20 which is still smaller than 34. Therefore we will multiply 20 by 10 again and add a zero in the quotient after the decimal point. By doing this the dividend will become 200 which is bigger than 34.
200 $\div$ 34 $\approx$ 5
34 x 5 = 170
Finally, we have a Quotient generated as 0.4705, with a Remainder equal to 30.
Images/mathematical drawings are created with GeoGebra.