9 1/6 as a Decimal

Answer

9 1/6 in decimals can be written as 9.1666…. It is a recurring decimal, showing it will repeat the digit 6 infinitely.

Explanation

To convert 9 1/6 into a decimal, we first convert the fraction 1/6 into a decimal.

Step 1: Identify the numerator (1) and the denominator (6). Use division to convert the fraction part into a decimal.

Step 2: As 1 is smaller than 6, it can't be divided directly. We use the decimal method, adding 0 to the dividend, making it 10, and placing a decimal point in the quotient.

Step 3: Divide 10 by 6. 6 goes into 10 once, which gives 1 in the quotient. Subtract 6 from 10, resulting in a remainder of 4.

Step 4: Bring down another 0, making it 40. Divide 40 by 6, which goes 6 times (6 × 6 = 36). Subtract 36 from 40 to get 4.

Step 5: Repeat the process, each time bringing down another 0. The result is a recurring decimal 0.1666… for the fraction part.

Finally, add this to the whole number part 9, resulting in 9.1666… as the decimal.

• 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.