2 11/12 as a Decimal

Answer

2 11/12 in decimal form is 2.91666... It is a recurring decimal, indicating that the digit 6 repeats infinitely.

Explanation

To convert 2 11/12 into a decimal, we will first convert the fractional part 11/12 into a decimal using the division method. After that, we will add the whole number part. Let's break down the process:

Step 1: Identify the numerator and denominator. The numerator (11) will be the dividend, and the denominator (12) will be the divisor.

Step 2: Divide 11 by 12. Since 11 is smaller than 12, we will use decimals to perform the division.

Step 3: Add a decimal and a zero to the dividend, making it 110.

Step 4: Divide 110 by 12. The closest multiple of 12 less than 110 is 108 (12 × 9), so we write 9 in the quotient. Subtract 108 from 110, resulting in 2.

Step 5: Bring down another 0, making it 20. Divide 20 by 12. The closest multiple is 12 (12 × 1), so write 1 in the quotient. Subtract 12 from 20, resulting in 8.

Step 6: Bring down another 0, making it 80. Divide 80 by 12. The closest multiple is 72 (12 × 6), so write 6 in the quotient. Subtract 72 from 80, resulting in 8.

Step 7: Repeat the process, as 8 becomes 80 again. The division process will continue, and we get a repeating decimal. Therefore, 11/12 as a decimal is 0.91666..., and adding the whole number part, 2, we get 2.91666...

• Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.

• 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 a digit or group of digits repeats infinitely.