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Answer:
none of the answers listed are equivalent to b (22/5, 11/8, 2/5, 1/4)
Step-by-step explanation:
[tex]\frac{1}{3b} = \frac{4}{5}[/tex]
to simplify, cross multiply
(1 · 5 = 3b · 4)
(5 = 12b)
divide both sides by 12 to isolate b,
[tex]\frac{5}{12} =\frac{12b}{12}[/tex]
[tex]\frac{5}{12} = b[/tex]
None of the answers listed are equivalent to 5/12
[tex]\frac{5}{12}[/tex] [tex]\neq[/tex][tex]\frac{22}{5}[/tex]
[tex]\frac{5}{12} \neq[/tex][tex]\frac{11}{8}[/tex]
[tex]\frac{5}{12} \neq[/tex][tex]\frac{2}{5}[/tex]
[tex]\frac{5}{12} \neq[/tex][tex]\frac{1}{4}[/tex]