Answer:
Step-by-step explanation:
Sum of 3/8 and -5/12:
Least common denominator of 8 & 12 = 24
[tex]\frac{3}{8}+\frac{-5}{12}=\frac{3*3}{8*3}+\frac{-5*2}{12*2}\\\\\\=\frac{9}{24}+\frac{-10}{24}\\\\\\=\frac{-1}{24}[/tex]
Finding -15/8 * 16/27:
[tex]\frac{-15}{8}*\frac{16}{27}=\frac{-5*2}{1*9}=\frac{-10}{9}[/tex]
Reciprocal of -10/9 = -9/10
-1/24 ÷ -9/10 = [tex]\frac{-1}{24}*\frac{-10}{9}=\frac{1*5}{12*3}[/tex]
= [tex]\frac{5}{24}[/tex]
