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Which expression is equivalent to 25 times \(\frac{1}{5}\)?

A. \(\frac{1}{25} \times 5\)

B. \(\frac{1}{25} \times \frac{1}{5}\)

C. \(\frac{1}{25} \div \frac{1}{5}\)

D. \(5 \div 25\)

E. \(25 \div 5\)

Answer :

Answer:

E

Step-by-step explanation:

25 times 1/5 is saying divide 25 by 5 because 25 times 1/5 in 25/5 which is equal to 5 where 25 divided by 5 is 5.

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Rewritten by : Batagu

Final answer:

The correct expression equivalent to 25 times 1/5 is E: 25 divided by 5. Multiplying by 1/5 is the same as dividing by 5, yielding the result 5.

Explanation:

The expression equivalent to 25 times 1/5 is found by simply performing the multiplication. Doing this, we get:

25 * (1/5) = 25/1 * 1/5

When you multiply the numerators together (25 * 1) and the denominators together (1 * 5), you get:

25/5

After simplifying the fraction by dividing both the numerator and the denominator by 5, you will find the result:

5

Therefore, the correct answer is E: 25 divided by 5. This correlates with the concept that 1/5 is the reciprocal of 5, and multiplying by a reciprocal is the same as dividing by the number itself.