add 2a+b+3c and a+1/3b+2/5c
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Answer:
A + B = 3a + (4/3)b + (17/5)c
Step-by-step explanation:
Since we given two expressions
Let
A = 2a + b + 3c
B = a + (1/3)b + (2/5)c
And according to equation we have to find sum
So
A + B = ( 2a + b + 3c ) + ( a + (1/3)b + (2/5)c)
= 2a + a + b + (1/3)b + 3c + (2/5)c ∵ Arranging like terms
= 3a + (1 + (1/3))b + (3 + (2/5))c ∵ Taking b and c common
= 3a + (3/3 + 1/3)b + (15/5 + 2/5)c ∵ Making denominator same
= 3a + (4/3)b + (17/5)c ∵ Adding
Hence
A + B = 3a + (4/3)b + (17/5)c
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