8 5/6 as a Decimal

Answer:

8 5/6 as a decimal can be written as 8.8333... It is a recurring decimal, indicating that the digit 3 will repeat infinitely.

Explanation:

To convert 8 5/6 to a decimal, we first convert the fraction 5/6 into a decimal. We use the division method for this. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. Here, the numerator (5) will be the dividend, and the denominator (6) will be the divisor.

Step 2: As 5 is smaller than 6, it can't be divided directly. We will use decimal conversion by adding 0 to the dividend, making it 50, and placing a decimal point in the quotient.

Step 3: Now, divide 50 by 6. Determine how many times 6 fits into 50.

Step 4: 50 is not a multiple of 6, so we find the nearest number, which is 6 × 8 = 48. We write 8 in the quotient place and subtract 48 from 50, leaving 2.

Step 5: Bring down another 0 to make it 20, and repeat the division process. The division process continues, with a remainder of 2, leading to a recurring decimal.

Thus, 5/6 as a decimal is 0.8333..., and adding it to the whole number 8 gives us 8.8333...

• 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 in which one or more digits repeat infinitely.