How do you simplify #(2/15)(25/49)(-63/72)#?

Question

Avery Alexander · Accepted Answer

#-5/84# #"note that "-63/72" can be simplified"# #"by "color(blue)"cancelling "" numerator/denominator by 9"# #rArr-63/72=-cancel(63)^7/cancel(72)^8=-7/8# #"thus the calculation becomes"# #2/15xx25/49xx-7/8# #"simplify further by cancelling 2/8, 15/25 and 7/49"# #cancel(2)^1/cancel(15)^3xxcancel(25)^5/cancel(49)^7xx-cancel(7)^1/cancel(8)^4# #"multiply the remaining values on the "# #"numerator/denominator"# #=(1xx5xx-1)/(3xx7xx4)=-5/84#

Eva Adamson · Answer

#-5/84#

Start by cancelling with any common factors in the numerators and denominators.

#2/15 xx25/49 xx-63/72#

# div 5 (15 and 25)and div 7 (49 and 63)#

#=-2/cancel15^3 xxcancel25^5/cancel49^7 xxcancel63^9/72#

#=-cancel2/3 xx5/7 xxcancel9/(cancel72^(cancel8^4))#

# div 9 (9 and 72) and div 2 (2 and 8)#

#=5/(3xx7xx4)#

#= -5/(84)#

There are different ways of cancelling. The order is not important.

This is easier than multiplying all the tops together and all the bottoms together and then trying to simplify.

Eli Assouline · Answer

undefined To simplify the expression (2/15)(25/49)(-63/72), you can multiply the numerators together and multiply the denominators together. Then, simplify the resulting fraction by canceling out common factors between the numerator and denominator. The simplified expression is -7/98.