What Is 9/49 as a Decimal + Solution With Free Steps
The fraction 9/49 as a decimal is equal to 0.183.
The Long Division method is the fundamental method of converting a fraction into decimal form. Some divisions give zero remainders after some decimal values and others do not end. 9/49 also has unending decimals but we will take 3 values after the decimal point.
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 9/49.
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 = 9
Divisor = 49
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 = 9 $\div$ 49
This is when we go through the Long Division solution to our problem. The following figure shows the solution for fraction 9/49.
9/49 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 9 and 49, we can see how 9 is Smaller than 49, and to solve this division, we require that 9 be Bigger than 49.
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 9, which after getting multiplied by 10 becomes 90.
We take this 90 and divide it by 49; this can be done as follows:
90 $\div$ 49 $\approx$ 1
49 x 1 = 49
This will lead to the generation of a Remainder equal to 90 – 49 = 41. Now this means we have to repeat the process by Converting the 41 into 410 and solving for that:
410 $\div$ 49 $\approx$ 8
49 x 8 = 392
This, therefore, produces another Remainder which is equal to 410 – 392 = 18. Now this means we have to repeat the process by Converting the 18 into 180 and solving for that:
180 $\div$ 49 $\approx$ 3
49 x 3 = 147
Finally, we have a Quotient generated after combining the three pieces of it as 0.183, with a Remainder equal to 33.
Images/mathematical drawings are created with GeoGebra.