8 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number like 8 1/3 combines a whole number and a fraction. The fraction part, 1/3, represents a part of the whole. It has two parts: the numerator (the number on the top), which is 1, represents how many parts out of the whole; the denominator (the number below), which is 3, shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 8 1/3 as a decimal?

$8 1/3 as a decimal$

Answer

8 1/3 in decimals can be written as 8.33333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 8 1/3 to a decimal, we first convert the fractional part (1/3) to a decimal. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (1) will be taken as the dividend, and the denominator (3) will be taken as the divisor.

Step 2: As 1 is smaller than 3, it can't be divided directly. We use the decimal method by adding 0 to the dividend, making it 10, and adding a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 3. Determine how many times 3 fits into 10.

Step 4: 10 is not a multiple of 3, so find the nearest number, which is 3 × 3 = 9. Write 3 in the quotient place and subtract 9 from 10, leaving 1.

Step 5: Bring down another 0 in the dividend place, making it 10, and repeat the division process. The division process continues, never reaching a remainder of 0, resulting in a recurring decimal. Thus, 1/3 as a decimal is 0.3333…

Finally, add this to the whole number 8, resulting in 8.3333…

Important Glossaries for 8 1/3 as a decimal

Mixed Number: A number that combines a whole number and a fraction.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
Division: The process of determining how many times one number is contained within another.