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16. 10 seconds is what fractional part of 10 hours? (a) \\(\\frac{1}{60…

Question

  1. 10 seconds is what fractional part of 10 hours?

(a) \\(\frac{1}{60}\\)

(b) \\(\frac{1}{360}\\)

(c) \\(\frac{1}{3,600}\\)

(d) \\(\frac{1}{36,000}\\)

Explanation:

Convert hours to seconds

Using the Time Unit Conversion knowledge point

$$ LATEXBLOCK0 $$

Express as a fraction

To find what fractional part \(10\text{ seconds}\) is of \(10\text{ hours}\), set up the ratio:

$$ \text{Fraction} = \frac{10\text{ seconds}}{36,000\text{ seconds}} $$

Simplify the fraction

Using the Simplifying Fractions knowledge point

$$ \frac{10}{36,000} = \frac{1}{3,600} $$

Answer:

  • (A) \(\frac{1}{60}\)
  • (B) \(\frac{1}{360}\)
  • (C) \(\frac{1}{3,600}\) (Correct answer)
  • (D) \(\frac{1}{36,000}\)