How do you solve #\frac { w - 3} { 3} = \frac { 2} { 5}#?

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Answer 1 · 2017-05-14T02:15:30

#w=21/5=4.2#

Solve: #(w-3)/3=2/5#

We can cross-multiply:
#5(w-3)=2(3)#

Now, we can use the distributive property to distribute the 5:
#5w-15=6#

We can add #15# to both sides:
#5w=15+6#
#5w=21#

Finally, we divide both sides by #5#:
#w=21/5=4.2#

Answer 2 · 2017-05-14T02:27:29

#color(brown)(w=21/5# or # color(brown)(4 1/5#

#(w-3)/3=2/5#

#:.(5(w-3)=6)/15#

#:.(5w-15=6)/15#

multiply L.H.S and R.H.S. by 15

#:.5w-15=6#

#:.5w=6+15#

#:.5w=21#

#:.color(brown)(w=21/5# or #color(brown)(4 1/5#