Question

1.)4/5 x for x = 5/8

Answer 1

Answer:

Part 1) Option B $\frac{1}{2}$

Part 2) Option C $12$

Part 3) $1\frac{2}{3}$

Part 4) Option B $\frac{7}{9}$    

Part 5) Option A $37\frac{1}{2}$

Step-by-step explanation:

Part 1) we have

$\frac{4}{5}x$

For $x=\frac{5}{8}$

substitute

$\frac{4}{5}*\frac{5}{8}=\frac{4}{8}=\frac{1}{2}$

Part 2) we have

$\frac{h}{(4/9)}$

For $h=5\frac{1}{3}$

convert mixed number to an improper fraction

$5\frac{1}{3}=\frac{5*3+1}{3}=\frac{16}{3}$

substitute

$\frac{(16/3)}{(4/9)}=4*3=12$

Part 3) we have

$\frac{j}{3\frac{1}{2}}$

For $j=5\frac{5}{6}$

convert mixed number to an improper fraction

$3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}$

$5\frac{5}{6}=\frac{5*6+5}{6}=\frac{35}{6}$

substitute

$\frac{(35/6)}{(7/2)}= \frac{5}{3}=1\frac{2}{3}$

Part 4) we have

$\frac{w}{7\frac{1}{2}}$

For $w=5\frac{5}{6}$

convert mixed number to an improper fraction

$7\frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}$

$5\frac{5}{6}=\frac{5*6+5}{6}=\frac{35}{6}$                                      

$\frac{(35/6)}{(15/2)}=\frac{7}{9}$        

Part 5) we have

$8\frac{1}{3}s$

For $s=4\frac{1}{2}$

convert mixed number to an improper fraction

$8\frac{1}{3}=\frac{8*3+1}{3}=\frac{25}{3}$

$4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}$  

Substitute

$\frac{25}{3}*\frac{9}{2}=\frac{75}{2}=37\frac{1}{2}$