# How do you divide #\frac { 6} { 13} \div \frac { 8} { 9}#?

##### 1 Answer

Dec 2, 2016

#### Explanation:

The method for

#color(blue)"division of fractions"# is.

#•" Leave the first fraction"#

#•" Change division to multiplication"#

#•" Invert (turn upside down) the second fraction"#

#•" Cancel factors between numerator/denominator if poss."#

#rArr6/13÷8/9#

#=6/13xx9/8larr" multiply and invert"#

#=cancel(6)^3/13xx9/cancel(8)^4larr" cancelling"#

#=(3xx9)/(13xx4)=27/52larr" in simplest form"# A fraction is in

#color(blue)"simplest form"# when no other factor, apart from 1 will divide into the numerator/denominator.