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……

• Mixed Number: A number consisting of an integer and a proper 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 digit or group of digits repeats infinitely.

• Division Method: A method used to convert fractions to decimals by dividing the numerator by the denominator.