-1 2/3 as a Decimal

Answer

-1 2/3 in decimal can be written as -1.6666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert -1 2/3 into a decimal, we can start by converting the fractional part 2/3 into a decimal. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (2) will be the dividend, and the denominator (3) will be the divisor.

Step 2: As 2 is smaller than 3, it cannot be divided directly. We'll use decimals to aid the division, making 2 as 20 (by adding a decimal point to the quotient).

Step 3: Divide 20 by 3. The closest multiple of 3 to 20 is 18 (3 × 6 = 18). Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.

Step 4: Bring down another 0 to the remainder, making it 20 again, and repeat the division process.

Step 5: The division process continues without the remainder reaching 0, resulting in a recurring decimal. The fractional part 2/3 is 0.6666…

Thus, -1 2/3 as a decimal is -1.6666…

• 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 with digits that repeat infinitely.