How do you evaluate #\frac { 1} { 10} \div \frac { 2} { 3}#?

1 Answer

#1/10 -: 2/3 = 1/10 xx 3/2 = 3/20#

Explanation:

When we divide by a fraction, it's the same as multiplying by the inverse. And so this:

#1/10 -: 2/3 = 1/10 xx 3/2 = 3/20#

One way I can remember this is to see that I can write #1/10 -: 2/3# like this:

#(1/10)/(2/3)#

and now the thing is to set the bottom fraction equal to 1. To do that, I need to multiply the bottom fraction by it's inverse:

#(1/10)/(2/3)(1)=(1/10)/(2/3)((3/2)/(3/2))=((3/20)/(6/6))=3/20#