8 2/3 as a Decimal

Answer

8 2/3 in decimals can be written as 8.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 8 2/3 in decimal, we will convert the fraction 2/3 into decimal and then add it to the whole number 8. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator from the fraction part because the numerator (2) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: As 2 is smaller than 3, it can't be divided completely. Here, we will use decimals. We will add 0 to the dividend, making it 20, and add a decimal point in the quotient place.

Step 3: Now, 20 divided by 3. Let's see how many times 3 fits into 20.

Step 4: 20 is not a multiple of 3, so we look for the nearest number, 3 × 6 = 18. We write 6 in the quotient place and subtract 18 from 20, giving us 2.

Step 5: Bring down another 0 in the dividend place, making it 20 again, and repeat the division process. This division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The fraction 2/3 as a decimal is 0.6666…, and adding it to the whole number 8 gives us 8.6666…

• Mixed Number: A whole number combined with a fraction, representing a value greater than one.

• 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.

• Recurring Decimal: A decimal that has one or more repeating digits after the decimal point indefinitely.