8 5/6 as a Decimal

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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: the numerator (the number on the top), which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make 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 5/6 as a decimal?

$8 5/6 as a decimal$ 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...