2 1/12 as a Decimal

Answer

2 1/12 in decimals can be written as 2.0833… It is a recurring decimal, showing it will repeat some digits infinitely.

Explanation

To get 2 1/12 in decimal, we will first convert the fraction 1/12 into decimal and then add it to the whole number 2. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, the whole number is 2, and the fraction is 1/12.

Step 2: Convert the fraction 1/12 into a decimal by using the division method. Here as 1 is smaller than 12, we will take help of decimals.

Step 3: Perform the division 1 ÷ 12. You will need to add a decimal point and zeros to divide it further.

Step 4: 12 goes into 10 zero times, so you bring down another 0 to make it 100. 12 goes into 100 eight times, as 12 × 8 = 96. Write 8 in the quotient place.

Step 5: Subtract 96 from 100 to get 4. Bring down another 0 to make it 40. 12 goes into 40 three times, as 12 × 3 = 36. Write 3 in the quotient place.

Step 6: Subtract 36 from 40 to get 4. Bring down another 0, making it 40 again, and repeat the division process. The division process continues, but the remainder does not become 0, indicating a recurring decimal.

Step 7: Add the decimal 0.0833… to the whole number 2 to get 2.0833…

The answer for 2 1/12 as a decimal will be 2.0833…

• 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 a sequence of digits repeats infinitely.