An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Multiply the numerators: $1
times 1 = 1$.
Multiply the denominators: $6
times 2 = 12$.
The result of the multiplication is 12 1 .
The correct answer is 12 1 .
Explanation
Understanding the Problem We are asked to evaluate the expression $1/6
times 1/2$ and select the correct answer from the given options.
Multiplying Fractions To multiply two fractions, we multiply the numerators and the denominators separately. That is, for fractions b a and d c , their product is given by $\frac{a}{b}
times
\frac{c}{d} = \frac{a
times c}{b
times d}$.
Calculating the Product In our case, we have $\frac{1}{6}
times \frac{1}{2}$. Multiplying the numerators gives $1
times 1 = 1$, and multiplying the denominators gives $6
times 2 = 12 . T h ere f ore , \frac{1}{6}
times \frac{1}{2} = \frac{1}{12}$.
Selecting the Correct Answer Comparing our result with the given options, we see that the correct answer is 1/12 , which corresponds to option c.
Examples
Understanding fractions is crucial in everyday life. For instance, when baking, you might need to halve a recipe that calls for 3 1 cup of flour. To find the new amount, you would multiply 2 1 × 3 1 , resulting in 6 1 cup. This simple calculation ensures your baked goods turn out perfectly!
In 30 seconds, approximately 2.81 x 10^21 electrons flow through the device delivering a current of 15.0 A. This is found by calculating the total charge and dividing it by the charge of a single electron. The process highlights the relationship between current, charge, and the number of electrons.
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