How do you find the quotient of four-ninths divided by eight?

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Answer 1 · 2018-03-07T14:10:53

See a solution process below;

We can write this problem as:

$(4/9)/8$ which can be rewritten as: $(4/9)/(8/1)$

We can then use this rule for dividing fractions to evaluate the expression:

$(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))$

$(color(red)(4)/color(blue)(9))/(color(green)(8)/color(purple)(1)) =>$

$(color(red)(4) xx color(purple)(1))/(color(blue)(9) xx color(green)(8)) =>$

$(cancel(color(red)(4))color(red)(1) xx color(purple)(1))/(color(blue)(9) xx cancel(color(green)(8)) color(green)(2)) =>$

$(color(red)(1) xx color(purple)(1))/(color(blue)(9) xx color(green)(2)) =>$

$1/18$