4 5/6 as a decimal

Answer

4 5/6 in decimals can be written as 4.8333…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 4 5/6 into a decimal, we use the division method for the fractional part. The whole number part remains the same.

Step 1: Identify the whole number, numerator, and denominator. Here, 4 is the whole number, 5 is the numerator, and 6 is the denominator.

Step 2: Convert the fractional part (5/6) to a decimal. Since 5 is smaller than 6, we will use the decimal method.

Step 3: As 5 is smaller than 6, it can't be divided directly, so we add a decimal to the quotient and a zero to the dividend, making it 50.

Step 4: Divide 50 by 6. The nearest multiple is 6 × 8 = 48. Place 8 in the quotient, subtract 48 from 50 to get 2.

Step 5: Bring down another 0, making it 20, and repeat the division process. Divide 20 by 6, where 6 × 3 = 18. Subtract 18 from 20 to get 2.

Step 6: Repeat this process, as the remainder never reaches zero, resulting in a recurring decimal.

The answer for 4 5/6 as a decimal is 4.8333….

• 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.