3/7 of 4/9 of 2/5 of 7560 = (?)2
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Answer: C. 24
Explanation
Sequential fraction multiplication simplifies the entire numerical expression efficiently. Evaluating the fractional product results in a numerical value of 576. Calculating the square root of 576 yields the final answer of 24. Fractions are multiplied by numerator times numerator over denominator times denominator. The expression evaluates as 3/7 times 4/9 times 2/5 times 7560. The square root operation reverses the squaring of the resulting product.
Order of operations and fraction arithmetic are core competencies in basic mathematics. Scaling recipes or financial assets often involves successive fractional multiplication. Simplifying large numbers before calculation prevents common arithmetic errors. Choosing 18 is incorrect because the square of 18 is only 324. Choosing 22 is incorrect because the square of 22 is only 484. Choosing 26 is incorrect because the square of 26 is 676.
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- Mathematics
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- Mathematics
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