How do you multiply #\frac { 39} { 52} \cdot \frac { 38} { 51}#?

2 Answers
Feb 19, 2017

#19/34#

Explanation:

#cancel39^13/cancel52^26*cancel38^19/cancel51^17#

#:.=cancel13^1/cancel26^2 xx 19/17#

#:.=1/2 xx 19/17#

#:.=19/34#

Feb 19, 2017

#39/52*38/51 = 19/34#

Explanation:

Factorise the numerators and denominators so we can work out what we can cancel:

#39/52*38/51 = (color(purple)(cancel(color(black)(3)))*color(red)(cancel(color(black)(13))))/(color(green)(cancel(color(black)(2)))*2*color(red)(cancel(color(black)(13))))*(color(green)(cancel(color(black)(2)))*19)/(color(purple)(cancel(color(black)(3)))*17) = 19/(2*17) = 19/34#