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Express \(\frac{1}{25}\) divided by 74 as a fraction.

Answer :

Final answer:

To divide 1/25 by 74 as a fraction, multiply 1/25 by the reciprocal of 74, which is 1/74, resulting in the fraction 1/1850.

Explanation:

To find the result of 1/25 divided by 74 as a fraction, you perform a division of fractions. Division of fractions is the same as multiplying by the reciprocal of the divisor. In this case, the reciprocal of 74 is 1/74. So, you are looking to calculate (1/25) × (1/74).

Calculating this, you get:

  1. Write the original division as multiplication: 1/25 × 1/74.
  2. Multiply the numerators together: 1 × 1 = 1.
  3. Multiply the denominators together: 25 × 74 = 1850.
  4. Thus, the fraction is 1/1850.

This cannot be reduced further since 1 is the smallest numerator possible and there are no common factors between 1 and 1850.

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