2 1/6 as a Decimal

Answer

2 1/6 as a decimal can be written as 2.16666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 2 1/6 to a decimal, we first convert the fraction 1/6 to a decimal. Let's use the division method to convert 1/6:

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

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

Step 3: Divide 10 by 6. The nearest whole number is 6 × 1 = 6. Write 1 in the quotient, subtract 6 from 10, resulting in 4.

Step 4: Bring down another 0, making it 40. Divide 40 by 6. The nearest whole number is 6 × 6 = 36. Write 6 in the quotient, subtract 36 from 40, resulting in 4.

Step 5: Repeat the process. The remainder will never be 0, indicating a recurring decimal. The decimal for 1/6 is 0.16666…

So, 2 1/6 as a decimal is 2 + 0.16666…, which equals 2.16666…

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• 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 in which one or more digits repeat infinitely.