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Answer :
Xavier bought a total of 1 5/12 pounds (approximately 1.42 pounds) of fruit.
To find the total weight of fruit, we need to add 2/3 and 3/4. Since the denominators are different, we first determine the least common denominator (LCD). The LCD of 3 and 4 is 12.
Now, we convert both fractions to have a denominator of 12:
- Convert 2/3 by multiplying both numerator and denominator by 4:
(2 × 4) / (3 × 4) = 8/12
- Convert 3/4 by multiplying both numerator and denominator by 3:
(3 × 3) / (4 × 3) = 9/12
Adding these fractions:
8/12 + 9/12 = (8 + 9)/12 = 17/12
Since 17/12 is an improper fraction, we convert it into a mixed number:
17 ÷ 12 gives a quotient of 1 and a remainder of 5, so:
17/12 = 1 5/12
To express this in decimal form, we divide 5 by 12:
5 ÷ 12 = 0.4167, so 1 5/12 ≈ 1.42 pounds.
Thus, Xavier bought a total of 1 5/12 pounds or approximately 1.42 pounds of fruit. The calculation follows the correct procedure of finding the LCD, converting fractions, adding them, and simplifying to a mixed number or decimal form.
Here is a bar graph representing the total weight of fruit Xavier bought. The graph shows:
- Bananas: 2/3 (≈ 0.67) pounds
- Apples: 3/4 (≈ 0.75) pounds
- Total Fruit: 1 5/12 (≈ 1.42) pounds
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Answer:
[tex]1 \dfrac{5}{12}[/tex]
Step-by-step explanation:
Find a common denominator (LCM of 3 and 4 is 12).
Convert the fractions:
[tex]\dfrac{2}{3} = \dfrac{8}{12}\\\\\dfrac{3}{4} = \dfrac{9}{12}[/tex]
Add the fractions:
[tex]\dfrac{8}{12} + \dfrac{9}{12} = \dfrac{17}{12}[/tex]
Convert [tex]\dfrac{17}{12}[/tex] into a mixed number:
[tex]\dfrac{17}{12} = 1 \dfrac{5}{12}[/tex]
