How do you solve #\frac { 10} { 11} \cdot y = \frac { 5} { 6}#?

1 Answer
smendyka
Jan 30, 2018

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)(11)/color(blue)(10)# to solve for #y# while keeping the equation balanced:

#color(red)(11)/color(blue)(10) xx 10/11 * y = color(red)(11)/color(blue)(10) xx 5/6#

#cancel(color(red)(11))/cancel(color(blue)(10)) xx color(blue)(cancel(color(black)(10)))/color(red)(cancel(color(black)(11))) * y = color(red)(11)/(cancel(color(blue)(10))2) xx color(red)(cancel(color(black)(5)))/6#

#y = color(red)(11)/(2 xx 6)#

#y = 11/12#

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