What is the product of #8/15, 6/5# and #1/3#?

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Answer 1 · 2017-01-16T13:35:23

See the entire solution process below.

First, product means to multiple, so we can express the product of these three terms as:

#8/15 xx 6/5 xx 1/3#

We can now use the rule for multiplying fractions:

#color(red)(a)/color(red)(b) xx color(blue)(c)/color(blue)(d) = (color(red)(a) xx color(blue)(c))/(color(red)(b) xx color(blue)(d))#

#(8 xx 6 xx 1)/(15 xx 5 xx 3)#

We can now factor #6# as #3 xx 2# and cancel the common term:

#(8 xx 3 xx 2 xx 1)/(15 xx 5 xx 3)#

#(8 xx color(red)(cancel(color(black)(3))) xx 2 xx 1)/(15 xx 5 xx color(red)(cancel(color(black)(3))))#

#(8 xx 2 xx 1)/(15 xx 5) -> 16/75#