what is negative one sixth times two and three fourths

(-1/6) * (11/4) = -11/24

To find the product of negative one-sixth and two and three-fourths, you'll need to multiply these two numbers together. Here's how:

Step 1: Convert the mixed number to an improper fraction.
Two and three-fourths can be written as a mixed number, which is equal to the sum of the whole number part and the fractional part. To convert it to an improper fraction, multiply the denominator (4) by the whole number part (2), and then add the numerator (3). The result is 11. Therefore, two and three-fourths can be written as 11/4.

Step 2: Multiply the two numbers together.
To find the product of negative one-sixth and 11/4, multiply the numerators (top numbers) together and the denominators (bottom numbers) together. This gives you:
(-1/6) * (11/4) = (-1 * 11) / (6 * 4) = -11/24.

So, the answer to the multiplication of negative one-sixth and two and three-fourths is -11/24.