19/12 as a Decimal

Answer

19/12 in decimals can be written as 1.5833... It is a recurring decimal, indicating that after a certain point, the digits repeat infinitely.

Explanation

To convert 19/12 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: Divide 19 by 12 to get the whole number part, which is 1.

Step 3: Subtract 12 from 19, which leaves a remainder of 7.

Step 4: Bring down a 0 to make it 70, then divide 70 by 12.

Step 5: 12 goes into 70 five times, as 12 × 5 = 60. Subtract 60 from 70 to get 10.

Step 6: Bring down another 0 to make it 100, then divide 100 by 12.

Step 7: 12 goes into 100 eight times, as 12 × 8 = 96. Subtract 96 from 100 to get 4.

Step 8: Bring down another 0 to make it 40, then divide 40 by 12.

Step 9: 12 goes into 40 three times, as 12 × 3 = 36. Subtract 36 from 40 to get 4, and the process repeats. This division process continues without terminating, resulting in a recurring decimal.

The answer for 19/12 as a decimal is 1.5833...

• 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.