What Is 2 1/3 as a Decimal + Solution With Free Steps
The fraction 2 1/3 as a decimal is equal to 2.3333333333.
The Fractions are expressed using the p/q form. The line between p and q is known as the Division line. The Denominator and Numerator of the fractions are generally referred to as the q and p of the fraction.
This can also be explained by noting that the denominator is the number below the division line, and the numerator is the number above the division line. Fractions can be expressed in improper fractions, proper fractions, and mixed fractions.
Fractions with a greater numerator are referred to as Improper fractions, while fractions with a greater denominator are referred to as Proper fractions. If we combine a whole number with an improper fraction, it becomes a Mixed fraction.
The Long Division method is the one we employ to obtain fractional values in decimal values. Therefore, we will use the long division method to convert the mixed fraction of 2 1/3 into decimal value.
Solution
First, we have to convert the mixed fraction into p/q form. We will add the numerator to the product of the denominator and whole number. This will result in the fraction’s numerator while the denominator remains the same. By doing so, we have a fraction of 7/3.
Understanding the terminologies and concepts utilized in the long division method is necessary before moving on to our solution. It is essential to understand the terms Dividend and Divisor. The fraction’s denominator is referred to as the divisor, while its numerator is the dividend. Therefore, the dividend and divisor for the given fraction of 7/3 are:
Dividend = 7
Divisor = 3
The answer in decimal form after applying the long division method is known as the Quotient.
Quotient = Dividend $ \div $ Divisor = 7 $ \div $ 3
Here is the solution of the given fraction using the long division method:
Figure 1
7/3 Long Division Method
The given fraction is:
7 $ \div $ 3
When two numbers are not completely divisible by each other, we end up having some remaining numbers. That number is known as the Remainder.
7 $ \div $ 3 $ \approx $ 2
Where:
3 x 2 = 6
The remainder we get is 7 – 6 = 1. Here we will add a decimal point to add zero to the right side of the remainder.
By doing so, we now have a remainder of 10 divided by the divisor of 3.
10 $ \div $ 3 $ \approx $ 3
Where:
3 x 3 = 9
Thus, for the given mixed fraction of 2 1/3, combining the two pieces yields a Quotient of 2.3 and a Remainder of 1. We can continue to solve the provided fraction using the same method to obtain a more precise result.
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