1th5 of a rod was painted black. 2rd3 part of the total rod was coloured white. The part of the rod left without colour was
Answers
Given :-
- 1/5 part of a rod was painted black .
- 2/3 part of the total rod was coloured white .
To Find :-
- The part of the rod left without colour was ?
Solution :-
As we know that, any value in total is equal to 1.
so,
→ Part of rod that was painted black = (1/5) part of 1 = 1 * (1/5) = (1/5) part .
and,
→ Part of rod that was painted white = (2/3) part of 1 = 1 * (2/3) = (2/3) part .
then,
→ Total part that was painted black and white = (1/5) + (2/3) = (3 + 5*2)/15 = (3 + 10) / 15 = (13/15) part .
therefore,
→ Part of rod left without colour = Total - Total part that was painted = 1 - (13/15) = (15 - 13)/15 = (2/15) (Ans.)
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Answer:
Step-by-step explanation:
Let the rod be 1
Given :
Black paint in the rod = 1/5 of 1.
Paint with white =2/3 of the 1
The total part paint with colour is 1/5 + 2/3
1/5 + 2/3
To make same denominator, Take L.C.M of 5 and 3 = 15
3 / 15 + 10 /15
= 13 /15
Now we know the total rod is X then remaining is the part which is not coloured.
= 1 - 13 /15
= 15 - 13 / 15
= 2 /15
The part of the rod left without colour was 2/15