What Is 49/56 as a Decimal + Solution With Free Steps
The fraction 49/56 as a decimal is equal to 0.875.
The division is one of the most challenging mathematical operations because fractions require it. But by employing the later-discussed strategy, we can simplify it. The p/q form, where p and q are referred to as the Numerator and Denominator, can be used to represent a 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 49/56.
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 = 49
Divisor = 56
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 = 49 $\div$ 56
This is when we go through the Long Division solution to our problem. The following figure shows the long division:
49/56 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 49 and 56, we can see how 49 is Smaller than 56, and to solve this division, we require that 49 be Bigger than 56.
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 49, which after getting multiplied by 10 becomes 490.
We take this 490 and divide it by 56; this can be done as follows:
490 $\div$ 56 $\approx$ 8
56 x 8 = 448
This will lead to the generation of a Remainder equal to 490 – 448 = 42. Now this means we have to repeat the process by Converting the 42 into 420 and solving for that:
420 $\div$ 56 $\approx$ 7
56 x 7 = 392
This, therefore, produces another Remainder equal to 420 – 392 = 28. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 280.
280 $\div$ 56 = 5
56 x 5 = 280
Finally, we have a Quotient generated after combining the three pieces of it as 0.875=z, with a Remainder equal to 0.
Images/mathematical drawings are created with GeoGebra.