-3 1/6 as a Decimal

Answer

-3 1/6 in decimals can be written as -3.1666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert -3 1/6 to a decimal, we will convert the fraction 1/6 into a decimal and then combine it with the whole number part. Let's see the step-by-step breakdown of the process.

Step 1: Convert the fraction 1/6 into a decimal.

Step 2: To get 1/6 in decimal, we use the division method. Here, 1 is smaller than 6, so we will take help of the decimal method which gives us 0.1666….

Step 3: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (6) will be taken as the divisor.

Step 4: As 1 is smaller than 6, it can't be divided. We will add 0 to the dividend, making 1 as 10 and add a decimal point in the quotient place.

Step 5: Now that it is 10, we can divide it by 6. Let's see how many times 6 makes 10.

Step 6: 10 is not a multiple of 6, so we will look for the nearest number, which is 6 x 1 = 6. We write 1 in the quotient place and subtract 6 from 10 to get 4.

Step 7: Bring down another 0 in the dividend place, making it 40, and repeat the division process.

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

Step 9: Combine the whole number part, -3, with the decimal obtained, 0.1666… to get -3.1666….

• Mixed Number: A number consisting of an integer and a proper 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 in which one or more digits repeat infinitely.