Final answer:
To reduce 2(-21/14) to lowest terms and convert it to a mixed number, multiply 2 and -21/14, reduce the fraction, and express it as a mixed number.
Step-by-step explanation:
To reduce 2(-21/14) to lowest terms and convert it to a mixed number:
- Perform the multiplication between the whole number and the fraction: 2 * (-21/14) = -42/14
- Reduce the fraction to lowest terms by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor is 14, so the reduced fraction is -3/1.
- Express the reduced fraction as a mixed number by dividing the numerator by the denominator: -3 ÷ 1 = -3. The remainder is 0.
Therefore, 2(-21/14) in lowest terms and as a mixed number is -3.