How do you solve #\frac { s - 4} { 11} = \frac { 2} { 5}#?

1 Answer
Jim G.
Oct 26, 2016

#s=42/5#

Explanation:

An alternative method. When we have a fraction equal to another fraction, we can solve using #color(blue)"cross multiplication"#
That is.

#(color(red)(s-4))/color(blue)(11)=color(blue)(2)/color(red)(5)#

Now multiply the terms at either end of an imaginary cross (X) placed over the = sign, and equate them.

That is, multiply the terms in #color(red)"red"# and the terms in #color(blue)"blue"# together and equate them.

#color(red)(5(s-4))=color(blue)(2xx11)#

distribute the bracket.

#5s-20=22#

add 20 to both sides.

#5scancel(-20)cancel(+20)=22+20#

#rArr5s=42#

To solve for s, divide both sides by 5.

#(cancel(5) s)/cancel(5)=42/5#

#rArrs=42/5" is the solution"#

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