The fraction 2 1/4 as a decimal is equal to 2.25.
A fraction is basically a ratio of two whole numbers which are separated by a line called the division line. The number above the line is known as the numerator, while the number below the line is called the denominator.
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A fraction generally has three types: proper fraction, improper fraction, and mixed fraction. The fraction that has a numerator less than the denominator is referred to as a proper fraction, while a fraction having a numerator greater than the denominator is known as an improper fraction.
However, if a whole number and an improper fraction are combined, we get a mixed fraction.
To solve a fraction to get the answer in decimal numbers, we use the method called the Long Division method. Using the long division method, we can convert a mixed fraction of 2 1/4 to a decimal value.
Solution
Before starting our solution, we first have to convert this mixed fraction into an improper fraction. To begin, multiply the denominator 4 by the whole number 2 and add the result to the numerator. By doing so, the fraction we have now is 9/4.
The Dividend is 9 and the Divisor is 4.
Dividend = 9
Divisor = 4
Now, we rearrange this fraction in a more descriptive way by introducing a new term called Quotient, which is defined as the result of the desired division.
Quotient = Dividend $div$ Divisor = 9 $div$ 4
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Now, the solution to the problem by the long division method can be:
Figure 1
9/8 Long Division Method
This is the step-by-step approach to solving the fraction by using the long division method.
We had a fraction:
9 $div$ 4
Since the numerator 9 is greater than the denominator 4, we can directly divide both the terms.
When two numbers are not completely divisible, the remaining number after their division is referred to as the Remainder.
9 $div$ 4 $approx$ 2
Where:
4 x 2 = 8
The remainder generated after this step is 1.
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Now the remainder is less than the divisor, so we have to add the Decimal point. By adding a decimal point to the quotient, we can now add zero to the remainder’s right to continue our solution.
So now the remainder we have is 10.
10 $div$ 4 $approx$ 2
Where:
4 x 2 = 8
So, after this, the remainder is equal to 2. Bringing in another zero to its right will give 20, as the decimal point is already in the quotient, we will not put this time again, so we must calculate the following in order to solve to three decimal places:
20 $div$ 4 = 5
Where:
4 x 5 = 20
So the resulting Quotient of the given mixed fraction of 2 1/4 is 2.25 with the remainder of 0.
Images/mathematical drawings are created with GeoGebra.
3 5/8 As A Decimal | Fractions to Decimals List | 2/8 As A Decimal
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