How do you add #\frac { 7} { 10} + \frac { 3} { 5} + \frac { 2} { 5} + \frac { 1} { 2} #?

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Answer 1 · 2017-03-14T03:52:43

#22/10#

Find the LCD for all fractions: #10#

Now we must change each fraction so that all the denominators in the expression are #10#

Thus,

#7/10# (It already has a denominator of #10# so we leave this alone)

#3/5# (To get a denominator of #10#, we multiply the numerator and denominator by #2#) #-> 3/5*2/2=6/10#

#2/5# (To get a denominator of #10#, we multiply the numerator and denominator by #2#) #-> 2/5*2/2=4/10#

#1/2# (To get a denominator of #10#, we multiply the numerator and denominator by #5#) #->1/2*5/5=5/10#

We put that all together to get:

#7/10+6/10+4/10+5/10 = 22/10#

Answer 2 · 2017-03-14T08:54:38

#color(red)(=2 1/5#

#7/10+3/5+2/5+1/2#

L.C.D. of# 10,5,5,2,=10#

#:.=(color(red)(7+6+4+5))/10#

#10-:10 xx 7=color(red)7#

#10-:5 xx 3=color(red)6#

#10-:5 xx 2=color(red)4#

#10-:2 xx 2=color(red)5#

#:.=22/10#

#:.=2 cancel2^color(red)1/cancel10^color(red)5#

#:.color(red)(=2 1/5 #