How do you solve #5d = 3\frac { 3} { 4}#?

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Answer 1 · 2018-01-20T23:12:40

See a solution process below:

FIrst, convert the mixed number to an improper fraction:

#3 3/4 = 3 + 3/4 = (4/4 xx 3) + 3/4 = 12/4 + 3/4 = (12 + 3)/4 = 15/4#

Next, rewrite the equation as:

#5d = 15/4#

Now, divide each side of the equation by #color(red)(5)# to solve for #d# while keeping the equation balanced:

#(5d)/color(red)(5) = (15/4)/color(red)(5)#

#(color(red)(cancel(color(black)(5)))d)/cancel(color(red)(5)) = 15/(4 xx color(red)(5))#

#d = (color(red)(cancel(color(black)(15)))3)/(4 xx cancel(color(red)(5)))#

#d = 3/4#