What is the value of 2/5 multiplied by ¾ divide by 8/5
2/5 multiplied by ¾ divided by 8/5 equals 316.
To solve the expression, we first multiply 2/5 by 3/4, which results in 6/20 or 3/10. Then, we divide this result by 8/5, which is equivalent to multiplying by the reciprocal (5/8). This gives us (3/10) * (5/8) = 15/80, which simplifies to 3/16. The numeric value of 3/16 is approximately 0.1875, which equates to 316 when expressed in a decimal format for the given problem context.
This choice is incorrect as it does not accurately represent the outcome of the operations performed. The result of multiplying and dividing fractions yields a much smaller value than 1225, which is not possible given the fractions involved.
Choosing 13 is incorrect because the calculations lead to a fractional result significantly less than 13. The multiplication and division of fractions consistently produce values between 0 and 1, and thus cannot reach the integer value of 13.
This choice is indeed correct. The operations performed correctly lead to a value that aligns with the numerical representation of the expression. The resultant fraction, when calculated accurately, corresponds to this answer.
This option is incorrect because the calculations do not yield a result equivalent to 64/75. The operations performed reduce the value far below this fraction, making it an inconsistency in the context of the problem.
The value of the expression 2/5 multiplied by ¾ divided by 8/5 simplifies through fraction multiplication and division, correctly yielding a final value of 316. Each incorrect option fails to align with the mathematical operations applied, reinforcing the accuracy of the calculations leading to the correct answer.
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