How do you evaluate #4\frac { 3} { 8} \cdot 1\frac { 5} { 6} #?

1 Answer
Kushagra
Aug 13, 2017

First, we make them improper fractions from mixed fractions.
#therefore 35/8*11/6#
Then, we multiply the denominators to their LCM,
LCM of 8 and 6 is,
#08 color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8 06#
#16 color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8 12#
#color(red)24 color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8 18#
#32 color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8color(white)8 color(red)24#

#24#
So, we multiply 8 by 3 and 6 by 4 to get 24

#therefore (35*3)/(8*3) * (11*4)/(6*4)#
#105/24 * 44/24#
Simplify,
#105/6 * 11/24#
#1155/144#
That's something like 8, almost

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