How do you solve #\frac{3}{5}t=6#?

3 Answers
R A. · EZ as pi
Mar 10, 2018

#t = 10#

Explanation:

all you have to do is cancel the "/5" from the left side by multiplying it (which is the opposite of division) by 6.

#3t = 6 x 5#
#3t = 30#
#t = 10#

Meave60
Mar 10, 2018

#t=10#

Explanation:

Solve:

#3/5t=6#

Simplify #3/5t# to #(3t)/5#.

#(3t)/5=6#

Multiply both sides by #5#.

#color(red)cancel(color(black)(5))^1xx(3t)/color(red)cancel(color(black)(5))^1=6xx5#

#3t=30#

Divide both sides by #3#.

#(color(red)cancel(color(black)(3))^1t)/color(red)cancel(color(black)(3))^1=color(red)cancel(color(black)(30))^10/color(red)cancel(color(black)(3))^1#

Simplify.

#t=10#

EZ as pi
Mar 10, 2018

#t=10#

Explanation:

To solve the equation you want to isolate the variable, #t#

You can do this in one step by multiplying both sides by the reciprocal of #3/5# which is #5/3#

#3/5t =6#

#color(blue)(cancel5/cancel3) xx cancel3/cancel5t = color(blue)(5/3)xx6#

#t= 5/cancel3 xx cancel6^2#

#t=10#

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