Paulo had 2 1/4 feet of red twine. He had 1 5/12 feet of blue twine. He used some twine to make a craft. He has 1 11/12 feet of twine left. How much twine did Paulo use for his craft?
A. 2 3/12 feet
B. 1 3/4 feet
C. 5 7/12 feet
D. 2 9/12 feet
2 1/4 + 1 5/12 - 1 11/12
= 2 3/12 + 1 5/12 - 1 11/12
= 2+1-1 + 3/12+5/12-11/12
= 2 - 3/12
= 1 3/4
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To find out how much twine Paulo used for his craft, we need to subtract the amount of twine he has left from the total amount he originally had.
Paulo had 2 1/4 feet of red twine, which can be written as 9/4 feet (since 2 is equal to 8/4, and adding 1/4 gives us a total of 9/4).
Paulo also had 1 5/12 feet of blue twine, which can be written as 17/12 feet (since 1 is equal to 12/12, and adding 5/12 gives us a total of 17/12).
To add the two amounts together, we need to find a common denominator. The least common multiple of 4 and 12 is 12, so we'll convert both fractions to twelfths.
Converting 9/4 feet to twelfths: Multiply the numerator and denominator by 3, which gives us 27/12 feet.
Converting 17/12 feet to twelfths: Multiply the numerator by 1, which gives us 17/12 feet.
Now we can add the two amounts: 27/12 + 17/12 = 44/12 feet.
Paulo has 1 11/12 feet of twine left, which can be written as 23/12 feet (since 1 is equal to 12/12, and adding 11/12 gives us a total of 23/12).
To find out how much twine Paulo used for his craft, we need to subtract the twine he has left from the total amount he originally had: 44/12 - 23/12 = 21/12 feet.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3 in this case: (21/3) / (12/3) = 7/4 feet.
Therefore, Paulo used 7/4 feet of twine for his craft.
Now let's convert 7/4 feet back into mixed numbers. Since 4 goes into 7 once with a remainder of 3, we have 1 3/4 feet.
Therefore, the answer is B. 1 3/4 feet.