1 1/12 as a Decimal

Answer

1 1/12 in decimal form can be written as 1.0833… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 1 1/12 into a decimal, we first need to convert the fractional part 1/12 into a decimal. This can be done using the division method.

Step 1: Identify the numerator and denominator. Here, the numerator (1) will be taken as the dividend and the denominator (12) as the divisor.

Step 2: As 1 is smaller than 12, we cannot divide directly. We'll use the decimal method, adding a decimal point and zero to the dividend to make it 10.

Step 3: Divide 10 by 12. Since 10 is smaller than 12, add another zero to make it 100.

Step 4: Now divide 100 by 12. The closest multiple of 12 is 12 × 8 = 96. Place 8 in the quotient.

Step 5: Subtract 96 from 100 to get 4, bring down another 0 to make it 40 and repeat. The process continues, with the decimal part repeating as 0.0833...

Thus, the decimal representation for 1 1/12 is 1.0833…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Mixed Number: A combination of a whole number and a fraction.
   
• Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.
   
• Division: The process used to convert fractions into decimals by dividing the numerator by the denominator.