How do you solve #1- \frac{7}{9} a = - \frac{5}{9}#?

Question

1240 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-19T00:29:46

#a=2#

If you are solving for a, you would first find the common denominator between the two fractions, but they have already given equal denominators.

Multiply both sides by 9 to get rid of the fractions (they call this fraction busting...)

#9(1-7/9a)=9(-5/9)#

#9-7a=-5#

Next, you can add #7a# and #5# on both sides.

#(9-7a)+7a+5=(-5)+5+7a#

#9+5=7a#

#14=7a#

Now divide both sides by 7...

#14/7=(7a)/7#

#2=a#