1 11/12 as a Decimal

Answer

1 11/12 in decimals can be written as 1.91666. It is a recurring decimal, showing that a part of it will repeat the same digit infinitely.

Explanation

To convert 1 11/12 into a decimal, we first convert the fraction part 11/12 into a decimal using division. The whole number part is 1. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator of the fraction because the numerator (11) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: As 11 is smaller than 12, it can't be divided to give a whole number, so we will take the help of decimals. We will add 0 to the dividend, which will make it 110, and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 12. Let's see how many times 12 fits into 110.

Step 4: 110 divided by 12 gives approximately 9 with a remainder. So, we write 9 in the quotient place. 12 x 9 = 108. Subtract 108 from 110 to get 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and continue dividing by 12. 20 divided by 12 gives approximately 1.

Step 6: The process continues with bringing down more zeros and repeating the division. This results in a recurring decimal.

The answer for 1 11/12 as a decimal is 1.91666.

• Mixed Number: A number consisting of a whole number and a fraction.
   
• 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 that repeats the same digit or group of digits infinitely.