How do you evaluate #57\frac { 2} { 5} + 25\frac { 1} { 2} #?

1 Answer
Jim G.
Aug 13, 2017

#82 9/10#

Explanation:

#"note that "#

#57 2/5=57+2/5" and "25 1/2=25+1/2#

#"we can now express the sum as"#

#57 2/5+25 1/2#

#=57+2/5+25+1/2#

#"now add the whole numbers separate from the fractions"#

#=(57+25)+2/5+1/2to(color(red)(1))#

#"before adding the fractions we require them to have a"#
#color(blue)"common denominator"#

#"the lowest common multiple ( LCM) of 5 and 2 is 10"#

#rArr(2xx2)/(5xx2)+(5xx1)/(5xx2)#

#=4/10+5/10=9/10#

#"returning to "(color(red)(1))#

#(57+25)+2/5+1/2#

#=82+9/10#

#=82 9/10#

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