How do you simplify #2 1/10+(1 2/7+ 4 9/10)#?

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Answer 1 · 2016-11-08T12:02:09

#=580/70#

Simplifying the given expression including mixed numbers is

determined by changing mixed numbers into fractions then

adding the fractions.

Mixed numbers is changed into fractions by:

#color(red)(a c/d=(a xx d + c)/d)#

Changing the mixed numbers into fractions:

#2 1/10 =color(red)((2 xx 10 + 1 )/10=21/10)#

#1 2/7 =color(red)((1 xx 7 + 2 )/7= 9/7 )#

#4 9/10 = color(red)((4 xx 10 + 9)/10= 49/10) #
#" "#

Adding the fractions is determined by computing the common denominator #G.C.D(7 , 10)#

Common denominator is determined by computing the prime factorization and choosing the greatest common factors.

# 10=2 xx 5 xx 1 #
# 7 = 7 xx 1 #

Denominator is:
#G.C.D(7 , 10) = 2 xx 5 xx 7 xx 1 =70#

#2 1/10+(1 2/7+4 9/10)#

#= color(red)(21/10) + color(red)(9/7) + color(red)(49/10)#

#=(21 xx 7)/70 + (9 xx 10)/70 + (49 xx 7)/70#

#=(147 + 90 + 343)/70#

#=580/70#