Question

problem #4
enter the value of (left(-\frac{2}{5} + \frac{3}{4}
ight) cdot (-5))
show your work:

Explanation:

Step1: Find common denominator, add fractions

First, convert the fractions to have a common denominator (20):
$$-\frac{2}{5} + \frac{3}{4} = -\frac{8}{20} + \frac{15}{20} = \frac{7}{20}$$

Step2: Multiply result by -5

Multiply the sum by -5, simplifying the fraction:
$$\frac{7}{20} \cdot (-5) = \frac{7 \cdot (-5)}{20} = -\frac{35}{20} = -\frac{7}{4}$$

Answer:

$-\frac{7}{4}$ or $-1\frac{3}{4}$