23/12 as a Decimal

Answer

23/12 in decimals can be written as 1.91666... It is a recurring decimal, showing the digit 6 will repeat infinitely.

Explanation

To get 23/12 in decimal, we will use the division method. Here, since 23 is larger than 12, we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend, and the denominator (12) will be taken as the divisor.

Step 2: Divide 23 by 12. 12 goes into 23 once, so write 1 in the quotient place.

Step 3: Subtract 12 from 23, which leaves a remainder of 11.

Step 4: Bring down a 0 to make it 110 and place a decimal point in the quotient.

Step 5: Now, 12 goes into 110 nine times (12 × 9 = 108). Write 9 in the quotient. Subtract 108 from 110, leaving a remainder of 2.

Step 6: Bring down another 0 to make it 20. 12 goes into 20 once (12 × 1 = 12). Write 1 in the quotient.

Step 7: Subtract 12 from 20, leaving a remainder of 8. Bring down another 0 to make it 80. 12 goes into 80 six times (12 × 6 = 72). Write 6 in the quotient.

Step 8: The division process continues, as we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 23/12 as a decimal will be 1.91666...

• 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 one or more digits repeat infinitely.