Final answer:
To divide -3 3/4 by 3, convert the mixed number to an improper fraction. Then divide the fraction by 3 using reciprocal multiplication. The answer is -3/4.
Step-by-step explanation:
To divide -3 3/4 by 3, we first need to convert the mixed number -3 3/4 into an improper fraction. This can be done by multiplying the whole number -3 by the denominator of the fraction (4) and then adding the numerator (3) to get -12 + 3 = -9. So, -3 3/4 is equivalent to -9/4. Now, we can divide -9/4 by 3 to get -9/4 ÷ 3.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore, -9/4 ÷ 3 = -9/4 × 1/3. Multiplying the numerators (-9 × 1) and the denominators (4 × 3), we get -9/12, which can be simplified to -3/4. Therefore, the answer is B. -3/4.