Nina bought 8 pieces of cartolina. She used 2 1/3 pieces for one project and 3 3/4 for a second project. How many pieces?How many pieces of cartolina remained with Nina?
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Nina bought 8 pieces of cartolina. She used 2 1/3 pieces for one project and 3 3/4 for a second project. How many pieces?How many pieces of cartolina remained with Nina?
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Answer:
2 1/3 + 3 3/4
2 1/3 = 7/3
3 3/4 = 15/4
7/3 + 15/4
28/12 + 45/12 = 73/12
8 - 73/12
8 = 96/12
96/12 - 73/12 = 23/12
23/12 (divided by 1/1) = 23/12
Therefore, Nina has 23/12 pieces of cartolina remaining, which is approximately 1 and 7/12 pieces.
Step-by-step explanation:
To find how many pieces of cartolina Nina used in total, we need to add the amount used for the first project and the amount used for the second project:
2 1/3 + 3 3/4
First, we need to convert the mixed numbers to improper fractions:
2 1/3 = 7/3
3 3/4 = 15/4
Now we can add:
7/3 + 15/4
To add these fractions, we need to find a common denominator, which is 12. We can rewrite 7/3 as 28/12 and 15/4 as 45/12:
28/12 + 45/12 = 73/12
So Nina used a total of 73/12 pieces of cartolina.
To find out how many pieces of cartolina she has left, we need to subtract the amount used from the total amount she bought:
8 - 73/12
We can convert 8 to a fraction with a common denominator of 12:
8 = 96/12
Now we can subtract:
96/12 - 73/12 = 23/12
So Nina has 23/12 pieces of cartolina remaining. We can simplify this fraction by dividing both the numerator and denominator by the greatest common factor of 23 and 12, which is 1:
23/12 (divided by 1/1) = 23/12
Therefore, Nina has 23/12 pieces of cartolina remaining, which is approximately 1 and 7/12 pieces.
Additional:
Nina used a total of 73/12 pieces of cartolina (2 1/3 + 3 3/4).
Nina has 23/12 pieces of cartolina (approximately 1 and 7/12 pieces) remaining.
Solution:
Nina used 73/12 pieces of cartolina and has 23/12 pieces of cartolina remaining.
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