The parts of a pole were painted red, blue and yellow. 3/5 was painted red, 7/8 was painted blue. What part of a pole was painted yellow?

11/40

11/40

I want an assistance! I want its way and an answer! Show me the way how to solve it?

To find out what part of the pole was painted yellow, we need to determine the remaining fraction after accounting for the red and blue parts.

The fraction of the pole that was painted red is given as 3/5, which means 3 out of every 5 parts of the pole were painted red.
Similarly, the fraction of the pole that was painted blue is given as 7/8, meaning 7 out of every 8 parts of the pole were painted blue.

To find the part of the pole painted yellow, we need to subtract the fractions of red and blue from the whole. The whole is represented by the fraction 1/1 or simply 1.

So, the fraction of the pole painted yellow is:
1 (whole) - 3/5 (red) - 7/8 (blue)

To subtract these fractions, we need to find a common denominator. In this case, we can multiply 5 by 8 to get a common denominator of 40.

The fraction of the pole painted yellow becomes:
1/1 - 3/5 - 7/8
= 40/40 - 24/40 - 35/40
= (40 - 24 - 35)/40
= (40 - 59)/40
= -19/40

Therefore, the part of the pole painted yellow is -19/40. However, it's important to note that fractions representing physical quantities should always be positive. Since -19/40 is not a valid answer, we can conclude that there is no yellow paint on the pole based on the given information.