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

Asked by anshu | 8th Jun, 2017, 02:51: PM

Expert Answer:

begin mathsize 16px style 2 over 5 plus 5 over 7 plus 3 over 10 plus 1 fifth
equals open parentheses 2 over 5 plus 1 fifth close parentheses plus 5 over 7 plus 3 over 10
equals open parentheses fraction numerator 2 plus 1 over denominator 5 end fraction close parentheses plus fraction numerator begin display style 5 end style over denominator begin display style 7 end style end fraction plus fraction numerator begin display style 3 end style over denominator begin display style 10 end style end fraction
equals 3 over 5 plus fraction numerator begin display style 5 end style over denominator begin display style 7 end style end fraction plus fraction numerator begin display style 3 end style over denominator begin display style 10 end style end fraction
equals fraction numerator 3 cross times 14 plus 5 cross times 10 plus 3 cross times 7 over denominator 70 end fraction space space space space space space left square bracket LCM space of space 5 comma space 7 space and space 10 equals 70 right square bracket
equals fraction numerator begin display style 42 plus 50 plus 21 end style over denominator begin display style 70 end style end fraction
equals 113 over 70 end style

Answered by Rashmi Khot | 8th Jun, 2017, 03:48: PM