Answer:
200 boards
Step-by-step explanation:
Given: Tom has a can of paint that can cover \(37\frac{1}{2}\) square meters. Each board on the fence has an area of \(\frac{3}{16}\) square meters.
To find: The number of boards he can paint.
Solution: It is given that the paint of the can cover \(37\frac{1}{2}=\frac{75}{2}\) square meters.
Area of each board is \(\frac{3}{16}\) square meters.
To find the number of board he can paint, we need to divide \(\frac{75}{2}\) by \(\frac{3}{16}\)
So, the number of board he can paint
\(=\frac{\frac{75}{2} }{\frac{3}{16} }\)
\(=\frac{75}{2}\times\frac{16}{3}\)
\(=200\)
Hence, 200 boards can be painted.
