Question

1 over 3b = 4 over 5 . Which of the following equals b in this equation? (4 points)

Answer 1

Answer:

none of the answers listed are equivalent to b (22/5, 11/8, 2/5, 1/4)

Step-by-step explanation:

$\frac{1}{3b} = \frac{4}{5}$

to simplify, cross multiply

(1 · 5  =  3b · 4)

(5 = 12b)

divide both sides by 12 to isolate b,

$\frac{5}{12} =\frac{12b}{12}$

$\frac{5}{12} = b$

None of the answers listed are equivalent to 5/12

$\frac{5}{12}$ $\neq$$\frac{22}{5}$

$\frac{5}{12} \neq$$\frac{11}{8}$

$\frac{5}{12} \neq$$\frac{2}{5}$

$\frac{5}{12} \neq$$\frac{1}{4}$