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Mathematics

Grade6

Easy

Question

A board is 18 feet long. Find the number of pieces of $fraction numerator 3 over denominator 2 end fraction$ feet that can be cut from the board.

8
9
10
12

hint Hint:

To find the number of pieces the board can be cut is equal to Total length of board divided by length of each piece to be cut

The correct answer is: 12

Length of the board = 18 feet ; Length of each piece to be cut = $fraction numerator 3 over denominator 2 end fraction$
Number of pieces of $fraction numerator 3 over denominator 2 end fraction$ feet long $equals 18 divided by fraction numerator 3 over denominator 2 end fraction$
We can multiply the reciprocal of the denominator with the numerator to find the value of the problem.
$equals 18 cross times fraction numerator 2 over denominator 3 end fraction open parentheses text reciprocal of end text fraction numerator 2 over denominator 3 end fraction text is end text fraction numerator 3 over denominator 2 end fraction close parentheses$
$equals 12$ pieces
Therefore, we can cut the board into 12 pieces with a required length of $fraction numerator 3 over denominator 2 end fraction$ feet .

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