35. \( (-4)\left(-2 \frac{1}{4}\right)\left(1 \frac{1}{2}\right) \)
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To solve \( (-4)\left(-2 \frac{1}{4}\right)\left(1 \frac{1}{2}\right) \), let's first convert the mixed numbers to improper fractions: 1. \( -2 \frac{1}{4} = -\frac{9}{4} \) (since \(2 \times 4 + 1 = 9\)) 2. \( 1 \frac{1}{2} = \frac{3}{2} \) (since \(1 \times 2 + 1 = 3\)) Now, we can rewrite the expression as: \[ (-4) \left(-\frac{9}{4}\right) \left(\frac{3}{2}\right) \] Next, multiply the first two terms: \[ (-4) \cdot \left(-\frac{9}{4}\right) = 4 \cdot \frac{9}{4} = 9 \] Now, multiply this result by the last term: \[ 9 \cdot \left(\frac{3}{2}\right) = \frac{27}{2} \] Thus, the final answer is: \[ \frac{27}{2} \] Alternatively, this can be expressed as a mixed number: \[ 13 \frac{1}{2} \]