Theodore has 20 baseball cards. He sells 1/4 of his cards to Tom, 1/3 of his cards to Larry, and his Mom accidently throws away 1/6 of his cards. How many baseball cards does Theodore have left?

Theodore has 20 baseball cards. He sells 1/4 of his cards to Tom, 1/3 of his cards to Larry, and his Mom accidently throws away 1/6 of his cards. How many baseball cards does Theodore have left?

Detailed Explanation

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).

The product is 3/12. (1/4 = 3/12).

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 cards have been sold or lost.

9/12 can be reduced to 3/4.

3/4 or 75% of the cards have been sold or lost.

20 × 0.75 = 15. 15 of 20 cards have been sold or lost.

20 – 15 = 5 cards remaining.

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).

The product is 3/12. (1/4 = 3/12).

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 cards have been sold or lost.

9/12 can be reduced to 3/4.

3/4 or 75% of the cards have been sold or lost.

20 × 0.75 = 15. 15 of 20 cards have been sold or lost.

20 – 15 = 5 cards remaining.