What Is 62/64 as a Decimal + Solution With Free Steps
The fraction 62/64 as a decimal is equal to 0.96875.
One of Math’s basic operators is the “Division,” which can alternatively be represented in the form of a mathematical expression called the Fraction, which sometimes is handier in solving or simplifying complex mathematical expressions. A Fraction looks like “p/q,” where the top entity (p) is called the Numerator, and the Bottom one (q) is known as the Denominator.
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 62/64.
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 = 62
Divisor = 64
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 = 62 $\div$ 64
This is when we go through the Long Division solution to our problem. The following figure shows the long division:
62/64 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 62 and 64, we can see how 62 is Smaller than 64, and to solve this division, we require that 62 be Bigger than 64.
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 62, which after getting multiplied by 10 becomes 620.
We take this 620 and divide it by 64; this can be done as follows:
620 $\div$ 64 $\approx$ 9
64 x 9 = 576
This will lead to the generation of a Remainder equal to 620 – 576 = 44. Now this means we have to repeat the process by Converting the 44 into 440 and solving for that:
440 $\div$ 64 $\approx$ 6
64 x 6 = 384
This, therefore, produces another Remainder which is equal to 440 – 384 = 56. Now we must solve this problem to the Third Decimal Place for accuracy, so we repeat the process with dividend 560.
560 $\div$ 64 $\approx$ 8
64 x 8 = 512
Finally, we have a Quotient generated after combining the three pieces of it as 0.968=z, with a Remainder equal to 48.
Images/mathematical drawings are created with GeoGebra.