8/6 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 fraction represents a part of the whole. It has two parts: numerator (number on the top), here 8, representing how many parts out of the whole, and denominator (number below), here 6, showing how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 8/6 as a decimal?

$8/6 as a decimal$

Answer

8/6 in decimals can be written as 1.3333….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 8/6 in decimal, we will use the division method. Since 8 is greater than 6, we can divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (6) as the divisor.

Step 2: Since 8 is greater than 6, we can divide directly. Divide 8 by 6, which gives 1 with a remainder.

Step 3: After subtracting 6 from 8, we get a remainder of 2.

Step 4: Bring down a 0 to make the remainder 20.

Step 5: Divide 20 by 6. The result is 3 with a remainder of 2.

Step 6: Bring down another 0 and repeat the process. The division continues, and we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 8/6 as a decimal is 1.3333……

Important Glossaries for 8/6 as a decimal

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
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.