A, B ,C, D, and E went to a restaurant. A paid 1/2 of the bill, B paid 1/5 of the bill and rest of the bill was shared equally by C, D, and E .What fraction of bill was paid by each?
Fraction is represented as numerical value which can be defined as the parts of a whole.
Answer: The fraction of bill paid by C,D and E is 1 /10 each.
Let's solve the given question according to the given conditions.
Fraction of bill paid by A = 1/2
Fraction of bill paid by B = 1/5
We need to find out the fraction of the bill paid by C, D and E.
Let us consider the fraction paid by C, D and E be 'x' each.
Let the complete bill be considered as one whole and the value of it is 1.
Hence, combining all the above data, we get,
A + B + C + D + E = 1
⇒ 1/2 + 1/5 + x + x + x = 1
⇒ (5 + 2)/10 + 3x = 1
⇒ 7/10 + 3x = 1
⇒ (7+30x) / 10 = 1
⇒ 7+30x = 10
⇒ 30x= 3
⇒ x = 3/30
⇒ x = 1/10
Therefore, the fraction of bill paid by C, D and E is 1 /10 each.