Answer:
Part 1) [tex]1\frac{5}{6}\ ft[/tex]
Part 2) [tex]10\frac{2}{3}\ bags[/tex]
Step-by-step explanation:
Part 1)
step 1
Convert mixed number to an improper fraction
[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]
step 2
Divided the improper fraction by 3
[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]
step 3
Convert to mixed number
[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]
Part 2)
step 1
Convert mixed number to an improper fractions
[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]
[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]
step 2
Adds the two quantities
[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]
step 3
Divide the total cups by 3/4 to find the number of bags
so
[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]
step 4
Convert to mixed number
[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]
