Cassie has a wood board that is 3/4 foot long. She wants to cut the board into pieces that are 1/8 foot long. Which expression will help Cassie find how many pieces she can cut?
1/8 * x = 3/4
an expression, instead of an equation
(3/4) / (1/8)
To find out how many pieces Cassie can cut from the wood board, you need to divide the length of the board by the length of each piece.
The length of the wood board is given as 3/4 foot.
The length of each piece is given as 1/8 foot.
To divide fractions, you need to invert the second fraction (1/8) and multiply it by the first fraction (3/4). In other words, you multiply the numerator (top) of the first fraction (3) with the denominator (bottom) of the inverted second fraction (8), and vice versa.
Therefore, the expression that will help Cassie find how many pieces she can cut is:
(3/4) ÷ (1/8)
Simplifying this expression, multiplying the numerator (3) by the reciprocal of the denominator (8), gives us:
(3/4) x (8/1) = (3x8) / (4x1) = 24/4 = 6
So, Cassie can cut 6 pieces from the wood board.