How many 2(1/2) foot-long shelves can be cut from a wooden board 9 feet long? how much wood will be left over?
9/2.5 = 3.6
so
3 whole shelves
plus 0.6 ft left over
9/2.5 = 3.6
Three pieces can be cut with 1.5 feet left over.
Use Ms Sue's answer for left over (.6*2.5 = 1.5 ft)
To find out how many 2(1/2) foot-long shelves can be cut from a 9-foot long wooden board, we need to divide the length of the board by the length of each shelf.
Step 1: Convert 2(1/2) feet to an improper fraction.
2(1/2) feet = (2 * 2 + 1) / 2 = 5/2 feet
Step 2: Divide the length of the board by the length of each shelf.
9 feet ÷ (5/2) feet = 9 feet × (2/5) feet
= 18/5 feet
Step 3: Simplify the result.
18/5 feet = 3(3/5) feet
So, you can cut 3(3/5) foot-long shelves from a 9-foot long board.
To find out how much wood will be left over, we need to subtract the total length of the shelves from the length of the wooden board.
Step 4: Convert the length of the shelves to an improper fraction.
3(3/5) feet = (3 * 5 + 3) / 5 = 18/5 feet
Step 5: Subtract the length of the shelves from the length of the board.
9 feet - 18/5 feet = 45/5 feet - 18/5 feet
= 27/5 feet
Step 6: Simplify the result.
27/5 feet = 5(2/5) feet
So, there will be 5(2/5) feet of wood left over.