What is the product of the following fractions: #3/100, 15/49, 7/9#?

1 Answer
seol
Nov 14, 2016

#1/140#

Explanation:

A fast way, kind of easy

A calculator might be helpful here.
#3/100\times15/49\times7/9=(3\times15\times7)/(100\times49\times9)=315/44100#

44100#\div#315=140, so#315/44100\times(1/315)/(1/315)#...
#(\cancel(315)^\color(red)(1))/(\cancel(44100)^\color(red)(140))=1/140#

Fastest AND easiest way

#3/15\times15/49\times7/9=(\cancel(3)^(1)\times\cancel(15)^(3)\times\cancel(7)^1)/(\cancel(100)^(20)\times\cancel(49)^(7)\times\cancel(9)^(3))#
#=(1\times\cancel(3)^(1)\times1)/(20\times7\times\cancel(3)^(1))=1/140#

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