Question

find the product of -4 and 3/8. 2/3 -3/2 -1/4 5/8

Explanation:

Step1: Recall the rule for multiplying a number and a fraction

To find the product of an integer \(-4\) and a fraction \(\frac{3}{8}\), we multiply the integer with the numerator of the fraction and keep the denominator the same. Also, remember the sign rule: a negative number multiplied by a positive number gives a negative result. So the product is \(-4\times\frac{3}{8}\).

Step2: Simplify the multiplication

First, we can write \(-4\) as \(\frac{-4}{1}\). Then, multiply the numerators \(-4\times3 = -12\) and the denominators \(1\times8=8\). So we have \(\frac{-12}{8}\). Now, simplify the fraction \(\frac{-12}{8}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(4\). \(\frac{-12\div4}{8\div4}=\frac{-3}{2}\).

Answer:

\(-\frac{3}{2}\) (corresponding to the option with \(-3/2\))