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question 2 of 10 10 points simplify: $10 \\div \\frac{2}{3}$ \\(\\bigci…

Question

question 2 of 10 10 points simplify: $10 \div \frac{2}{3}$ \\(\bigcirc\\) a. $1\frac{1}{10}$ \\(\bigcirc\\) b. $2\frac{1}{3}$ \\(\bigcirc\\) c. $3\frac{3}{5}$ \\(\bigcirc\\) d. 15 reset selection

Explanation:

Step1: Recall division of fractions rule

To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. So, \(10\div\frac{2}{3}=10\times\frac{3}{2}\).

Step2: Perform the multiplication

Multiply the numerators and denominators: \(10\times\frac{3}{2}=\frac{10\times3}{2}=\frac{30}{2}\).

Step3: Simplify the fraction

\(\frac{30}{2} = 15\).

Answer:

D. 15