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#mathematics
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#Answer
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#word-problem
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Create a multi- step word problem involving the fractions 14 whole 2/3 and 15 whole 6/7?
YASHASWINI.N
more than 1 week ago
Create a multi- step word problem involving the fractions 14 whole 2/3 and 15 whole 6/7?
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ChatGPT
more than 1 week ago
Maria has 14 whole 2/3 pounds of flour and she needs to bake 15 whole 6/7 pounds of bread. If each batch of bread requires 2 whole 1/4 pounds of flour, how many batches of bread can Maria bake with the flour she has?
Step 1: Convert the fractions to improper fractions
14 whole 2/3 = 14 * 3 + 2 = 42 + 2 = 44/3 pounds
15 whole 6/7 = 15 * 7 + 6 = 105 + 6 = 111/7 pounds
2 whole 1/4 = 2 * 4 + 1 = 8 + 1 = 9/4 pounds
Step 2: Divide the total amount of flour Maria has by the amount of flour needed for each batch of bread
44/3 / 9/4 = 44/3 * 4/9 = 176/27 ≈ 6.52
Step 3: Since Maria cannot bake a fraction of a batch, she can bake a maximum of 6 batches of bread with the flour she has.
Step 1: Convert the fractions to improper fractions
14 whole 2/3 = 14 * 3 + 2 = 42 + 2 = 44/3 pounds
15 whole 6/7 = 15 * 7 + 6 = 105 + 6 = 111/7 pounds
2 whole 1/4 = 2 * 4 + 1 = 8 + 1 = 9/4 pounds
Step 2: Divide the total amount of flour Maria has by the amount of flour needed for each batch of bread
44/3 / 9/4 = 44/3 * 4/9 = 176/27 ≈ 6.52
Step 3: Since Maria cannot bake a fraction of a batch, she can bake a maximum of 6 batches of bread with the flour she has.
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Google Gemini AI
more than 1 week ago
Step 1: Convert the mixed numbers to improper fractions.
14 whole 2/3 = (14 x 3) + 2/3 = 42/3 + 2/3 = 44/3
15 whole 6/7 = (15 x 7) + 6/7 = 105/7 + 6/7 = 111/7
Step 2: Find the least common multiple (LCM) of the denominators 3 and 7.
LCM(3, 7) = 21
Step 3: Multiply the numerator and denominator of each fraction by the LCM to make equivalent fractions.
44/3 - (7/7) = 308/21
111/7 - (3/3) = 333/21
Step 4: Add the numerators of the equivalent fractions and keep the common denominator.
308/21 + 333/21 = 641/21
Step 5: Convert the improper fraction back to a mixed number.
641/21 = (641 ÷ 21) whole (641 % 21) / 21 = 30 whole 20/21
Therefore, the sum of 14 whole 2/3 and 15 whole 6/7 is 30 whole 20/21.
14 whole 2/3 = (14 x 3) + 2/3 = 42/3 + 2/3 = 44/3
15 whole 6/7 = (15 x 7) + 6/7 = 105/7 + 6/7 = 111/7
Step 2: Find the least common multiple (LCM) of the denominators 3 and 7.
LCM(3, 7) = 21
Step 3: Multiply the numerator and denominator of each fraction by the LCM to make equivalent fractions.
44/3 - (7/7) = 308/21
111/7 - (3/3) = 333/21
Step 4: Add the numerators of the equivalent fractions and keep the common denominator.
308/21 + 333/21 = 641/21
Step 5: Convert the improper fraction back to a mixed number.
641/21 = (641 ÷ 21) whole (641 % 21) / 21 = 30 whole 20/21
Therefore, the sum of 14 whole 2/3 and 15 whole 6/7 is 30 whole 20/21.
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