10 / 4/5 =

Rationale

10 / 4/5 = 12{1/2}

To solve the expression 10 divided by 4/5, we can rewrite it as 10 multiplied by the reciprocal of 4/5, which is 5/4. This simplifies to 10 * (5/4) = 50/4 = 12{1/2}.

A ({4/50}) YOUR ANSWER

This choice represents a fraction that does not correspond to the result of the original division problem. Specifically, {4/50} simplifies to {2/25}, which is far less than the correct answer. It does not relate to the division of 10 by 4/5.

B ({8/5}) YOUR ANSWER

The fraction {8/5} is equivalent to 1.6 in decimal form. This value does not reflect the outcome of dividing 10 by 4/5. In fact, the result should yield a value greater than 10, making this option incorrect.

C ({5/8}) YOUR ANSWER

The fraction {5/8} equals 0.625 in decimal form, which is also significantly lower than the expected answer. This choice does not result from the calculation of 10 divided by 4/5 and thus is incorrect.

D (12{1/2}) CORRECT

This is the correct answer, representing the result of the division operation. As calculated, 10 divided by 4/5 equals 12.5, which can be expressed as 12{1/2}.

E (14{1/5}) YOUR ANSWER

The value 14{1/5} is equivalent to 14.2 in decimal form, which is much higher than the result of the division. This choice does not accurately represent the outcome of the calculation and is therefore incorrect.

Conclusion

The operation 10 divided by 4/5 simplifies to 50/4, which equals 12{1/2}. This fraction correctly captures the result of the division. The other options do not correctly represent the outcome and diverge significantly from the correct answer, highlighting the importance of accurately performing arithmetic operations with fractions.

10 / 4/5 =

10 / 4/5 = 12{1/2}

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