Answer:
a. [tex]\frac{-11}{24}[/tex]
b. [tex]\frac{-3}{2} \\[/tex]
c. [tex]\frac{31}{7}[/tex]
d. [tex]\frac{11}{16}[/tex]
11, 3, 31, 11 = code
Step-by-step explanation:
a. [tex]\frac{-1}{6}\\[/tex] * 2[tex]\frac{3}{4}[/tex] =
2[tex]\frac{3}{4}[/tex] = [tex]\frac{4*2+3 }{4}[/tex]= [tex]\frac{11}{4}[/tex]
[tex]\frac{-1}{6}\\[/tex] * [tex]\frac{11}{4}[/tex] = [tex]\frac{-1*11}{6*4}[/tex] = [tex]\frac{-11}{24}[/tex]
b. [tex]\frac{3}{16}[/tex] / [tex]\frac{-1}{8}[/tex] =
[tex]\frac{3}{16}[/tex] * [tex]\frac{8}{-1}[/tex] = [tex]\frac{3*8}{16*-1} \\[/tex] = [tex]\frac{24}{-16}[/tex] = [tex]\frac{-3}{2} \\[/tex]
c. [tex]\frac{-31}{56}[/tex] * [tex]\frac{-8}{1}[/tex] = [tex]\frac{31}{7}[/tex] (you can reduce 8 & 56 by dividing by 8: 56/8=7 & -8/8= -1)
d. 1 [tex]\frac{7}{8}[/tex] / 2[tex]\frac{8}{11}[/tex] =
1 [tex]\frac{7}{8}[/tex] = [tex]\frac{8*1+7}{8}[/tex] = [tex]\frac{15}{8}[/tex]
2[tex]\frac{8}{11}[/tex] = [tex]\frac{11*2+8}{11}[/tex] = [tex]\frac{30}{11}[/tex]
[tex]\frac{15}{8}[/tex] * [tex]\frac{11}{30}[/tex] = [tex]\frac{11}{16}[/tex] (you can reduce 15 & 30 by dividing by 15: 15/15=1 & 30/15 = 2)
