10 5/6 as a Decimal

Answer

10 5/6 in decimals can be written as 10.8333…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 10 5/6 to a decimal, we will first convert the fraction 5/6 to a decimal using the division method.

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (6) will be taken as the divisor.

Step 2: As 5 is smaller than 6, it can't be divided entirely, so we will add 0 to the dividend, making it 50, and add a decimal point in the quotient place.

Step 3: Now, divide 50 by 6. Let's see how many times 6 fits into 50.

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

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

To find the decimal for 10 5/6, add the whole number 10 to the decimal 0.8333, resulting in 10.8333....

• Mixed Number: A whole number combined with a fraction, representing a value greater than a whole number.
   
• 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 that has one or more repeating digits after the decimal point that continue indefinitely.
   
• Long Division: A method used in arithmetic to divide large numbers by breaking down the division process into a series of easier steps.