Answer:
1. 50/1 or 50 (other answer is 16 2/3, see explanation to see what I mean)
2. 120/12 or 10
3. 3/10
Step-by-step explanation:
1. 10 ÷ [tex]\frac{1}{5\\}[/tex]
Convert 10 into a fraction
[tex]\frac{10}{1}[/tex] ÷ [tex]\frac{1}{5}[/tex] = [tex]\frac{10}{1}[/tex] x [tex]\frac{5}{1}[/tex] = [tex]\frac{50}{1}[/tex] or 50
(I think you did a Typo and accidentally said three fifths but im going to put it here in case.)
10 Divided by [tex]\frac{3}{5}[/tex]
Convert 10 into a fraction
[tex]\frac{10}{1}[/tex] ÷ [tex]\frac{3}{5}[/tex] = [tex]\frac{10}{1}[/tex] x [tex]\frac{5}{3}[/tex] = [tex]\frac{50}{3}[/tex] or 16 [tex]\frac{2}{3}[/tex]
2. 3 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]
Convert 3 [tex]\frac{3}{4}[/tex] into a improper fraction
3 [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{4}[/tex]
Then Divide
[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex] = [tex]\frac{15}{4}[/tex] x [tex]\frac{8}{3}[/tex] = [tex]\frac{120}{12}[/tex] or 10
3. [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{5}{3}[/tex]
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{5}{3}[/tex]
Turn it into a multiplication problem by turning the multiplier into a reciprocal
[tex]\frac{1}{2}[/tex] x [tex]\frac{3}{5}[/tex] = [tex]\frac{3}{10}[/tex]
Hope this helps!