Final answer:
To multiply -1 3/8 by 3/4, convert the mixed number to an improper fraction. Then, multiply the numerators and denominators together to find the product. The result is -2.
Step-by-step explanation:
To multiply -1 ¾ by ¾, we need to first convert each mixed number to an improper fraction.
-1 ¾ = -¾ + ¾ = (-1 × 4 + 3) ¾ = -¾ + ¾ = -¾ ¾
¼ = ¾
Now, multiply the numerators together and the denominators together:
(-¾) × (¾) = (-1 × 1) (¾ × 4) = -1 ¾ ¾ 4 = -1 ¾ ¾ (2 × 2) = -8 ¾ 4 = -2
Therefore, -1 ¾ multiplied by ¼ is equal to -2.