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Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5?
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Anu wanted to score 26 points in the game of cards, but ends up only 8...
Problem: Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short?
Solution:
To find out how many points Anu failed short, we need to subtract the points she scored from the target score.
Step 1: Convert the score to a common denominator
Since the target score is in whole numbers and Anu's score is in fractions, we need to convert Anu's score to a fraction with a common denominator.
Anu's score: 8/3
Target score: 26
To convert 8/3 to a fraction with a common denominator, we need to multiply the numerator and denominator by 3.
8/3 * 3/3 = 24/9
Now both the target score and Anu's score are in fractions with a common denominator of 9.
Step 2: Subtract Anu's score from the target score
To find out how many points Anu failed short, we subtract her score from the target score.
Target score: 26/1
Anu's score: 24/9
26/1 - 24/9 = (26*9 - 24*1)/(1*9) = 234/9 - 24/9 = 210/9
Step 3: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.
GCD(210, 9) = 3
Dividing both the numerator and denominator by 3, we get:
210/9 ÷ 3/3 = 70/3
Answer: Anu failed short by 70/3 points. Therefore, the correct option is A: 70/3.
Solution:
To find out how many points Anu failed short, we need to subtract the points she scored from the target score.
Step 1: Convert the score to a common denominator
Since the target score is in whole numbers and Anu's score is in fractions, we need to convert Anu's score to a fraction with a common denominator.
Anu's score: 8/3
Target score: 26
To convert 8/3 to a fraction with a common denominator, we need to multiply the numerator and denominator by 3.
8/3 * 3/3 = 24/9
Now both the target score and Anu's score are in fractions with a common denominator of 9.
Step 2: Subtract Anu's score from the target score
To find out how many points Anu failed short, we subtract her score from the target score.
Target score: 26/1
Anu's score: 24/9
26/1 - 24/9 = (26*9 - 24*1)/(1*9) = 234/9 - 24/9 = 210/9
Step 3: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.
GCD(210, 9) = 3
Dividing both the numerator and denominator by 3, we get:
210/9 ÷ 3/3 = 70/3
Answer: Anu failed short by 70/3 points. Therefore, the correct option is A: 70/3.
Community Answer
Anu wanted to score 26 points in the game of cards, but ends up only 8...
70/3
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Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5?
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Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5?.
Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short? A: 70/3 B: 16/5 C: 64/3 D: 62/5?.
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