How do you solve #4/5 x = 2/5#?

1 Answer
May 20, 2017

Answer:

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)(5)/color(blue)(4)# to solve for #x# while keeping the equation balanced:

#color(red)(5)/color(blue)(4) xx 4/5x = color(red)(5)/color(blue)(4) xx 2/5#

#cancel(color(red)(5))/cancel(color(blue)(4)) xx color(blue)(cancel(color(black)(4)))/color(red)(cancel(color(black)(5)))x = cancel(color(red)(5))/color(blue)(4) xx 2/color(red)(cancel(color(black)(5)))#

#x = 2/4#

#x = 2/(2 xx 2)#

#x = color(red)(cancel(color(black)(2)))/(color(red)(cancel(color(black)(2))) xx 2)#

#x = 1/2#