Answer:
Part 1) Option B [tex]\frac{1}{2}[/tex]
Part 2) Option C [tex]12[/tex]
Part 3) [tex]1\frac{2}{3}[/tex]
Part 4) Option B [tex]\frac{7}{9}[/tex]
Part 5) Option A [tex]37\frac{1}{2}[/tex]
Step-by-step explanation:
Part 1) we have
[tex]\frac{4}{5}x[/tex]
For [tex]x=\frac{5}{8}[/tex]
substitute
[tex]\frac{4}{5}*\frac{5}{8}=\frac{4}{8}=\frac{1}{2}[/tex]
Part 2) we have
[tex]\frac{h}{(4/9)}[/tex]
For [tex]h=5\frac{1}{3}[/tex]
convert mixed number to an improper fraction
[tex]5\frac{1}{3}=\frac{5*3+1}{3}=\frac{16}{3}[/tex]
substitute
[tex]\frac{(16/3)}{(4/9)}=4*3=12[/tex]
Part 3) we have
[tex]\frac{j}{3\frac{1}{2}}[/tex]
For [tex]j=5\frac{5}{6}[/tex]
convert mixed number to an improper fraction
[tex]3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}[/tex]
[tex]5\frac{5}{6}=\frac{5*6+5}{6}=\frac{35}{6}[/tex]
substitute
[tex]\frac{(35/6)}{(7/2)}= \frac{5}{3}=1\frac{2}{3}[/tex]
Part 4) we have
[tex]\frac{w}{7\frac{1}{2}}[/tex]
For [tex]w=5\frac{5}{6}[/tex]
convert mixed number to an improper fraction
[tex]7\frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}[/tex]
[tex]5\frac{5}{6}=\frac{5*6+5}{6}=\frac{35}{6}[/tex]
[tex]\frac{(35/6)}{(15/2)}=\frac{7}{9}[/tex]
Part 5) we have
[tex]8\frac{1}{3}s[/tex]
For [tex]s=4\frac{1}{2}[/tex]
convert mixed number to an improper fraction
[tex]8\frac{1}{3}=\frac{8*3+1}{3}=\frac{25}{3}[/tex]
[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}[/tex]
Substitute
[tex]\frac{25}{3}*\frac{9}{2}=\frac{75}{2}=37\frac{1}{2}[/tex]
