How do you solve #w+3/5=1/3#?

1 Answer

#w=-4/15#

Explanation:

We have:

#w+3/5=1/3#

We need the denominators to be the same (it's like working with pizza and the bigger the denominator, the smaller the slice. We need the slices to be the same size). We can achieve that by using a clever use of 1:

#w+3/5(1)=1/3(1)#

#w+3/5(3/3)=1/3(5/5)#

#w+9/15=5/15#

#w+9/15color(red)(-9/15)=5/15color(red)(-9/15)#

#w=-4/15#