A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, a preschool teacher buys one-third of his pies, and a caterer buys one-sixth of his pies.
How many pies does the baker have left?
A. 3/4
B. 15
C. 12
D. 5
Correct Answer: D
Explanation/Reference:
Convert the different denominators to a common denominator that all the denominators can divide into evenly. 4, 3, and 6 all divide evenly into 12. To convert 1,4 to x,12, divide 12 (the new common denominator) by 4 (the old common denominator) to get 3. Then multiply 1,4 by 3,3 (another way of saying 1). Do the same calculation for the other fractions: 1,3 = 4,12 and 1,6 = 2,12.
Then add the new numerators together: 3 + 4 + 2 = 9. This gives you your new added numerator. Place the added numerator over the new denominator, and you can see that 9,12 of the pies have been sold. 9,12 can be reduced to 3,4. 3,4 or 75% of the pies have been sold.
20 x 0.75 = 15. 15 of 20 pies have been sold. 20 – 15 = 5 pies remaining
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