Jack has 1 1/2 pound cake.He wants to cut it in to 2/3 equal pieces.how many pieces will he have and what fraction is he left with?
Do you mean 2/3 pound pieces?
To find out how many pieces Jack will have when he cuts the cake, you need to divide the total weight of the cake (1 1/2 pounds) by the weight of each piece (2/3 pound).
To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator.
So, the calculation would be:
(1 1/2) ÷ (2/3) = (3/2) ÷ (2/3)
Now, let's multiply the first fraction by the reciprocal of the second fraction:
(3/2) × (3/2) = (9/4)
Therefore, Jack will have 9/4 or 2 1/4 equal pieces of cake.
To find the fraction of cake Jack is left with, you subtract the fraction of the pieces from the original fraction of the cake:
Original fraction: 1 1/2
Fraction of the pieces: 2 1/4
To subtract fractions, make sure the denominators are the same.
1 1/2 = (3/2)
2 1/4 = (9/4)
(3/2) - (9/4) = (6/4) - (9/4) = (-3/4)
Therefore, Jack is left with -3/4 of the original cake, which means there is a negative fraction leftover. In practical terms, it would mean that there is no cake leftover, and Jack has slightly more than the original 1 1/2-pound cake.