6 5/6 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 mixed number, like 6 5/6, combines a whole number with a fraction. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 5, representing how many parts out of the whole, and the denominator (number below), which is 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 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 6 5/6 as a decimal?

$6 5/6 as a decimal$

Answer

6 5/6 in decimals can be written as 6.8333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 6 5/6 into a decimal, we will convert the fractional part separately and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (6) and the fraction (5/6).

Step 2: Convert the fraction 5/6 into a decimal using the division method.

Step 3: As 5 is smaller than 6, we will use decimals. Add a decimal point and a zero to the dividend, making it 50.

Step 4: Divide 50 by 6. The nearest whole number that 6 can multiply to get close to 50 is 48 (6 × 8 = 48).

Step 5: Write 8 in the quotient place, subtract 48 from 50 to get 2.

Step 6: Bring down another 0 in the dividend place, making it 20, and repeat the division process. The division process continues, showing it is a recurring decimal.

The answer for 6 5/6 as a decimal will be 6.8333……