Divide. Write the quotient in lowest terms. 2(1)/(2)÷2(2)/(3)=

Convert to improper fractions: Now that we have both numbers as improper fractions, we can divide them by multiplying the first fraction by the reciprocal of the second fraction. Calculation: (5/2) ÷ (8/3) = (5/2) * (3/8)Multiply the fractions: Next, we multiply the numerators together and the denominators together to find the product. Calculation: (5 * 3) / (2 * 8) = 15/16Check for simplification: We check to see if the fraction 15/16 can be simplified further. Since 15 and 16 have no common factors other than 1, the fraction is already in its simplest form.Final answer: The final answer is the simplified fraction, which is the quotient of the original division problem. Final Answer: 15/16

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Divide. Write the quotient in lowest terms.

2(1)/(2)÷2(2)/(3)=

Divide. Write the quotient in lowest terms. $\newline$ $2 \frac{1}{2} \div 2 \frac{2}{3}=$

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Algebra 2

Multiply and divide rational expressions

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Q. Divide. Write the quotient in lowest terms.

\newline

2 \frac{1}{2} \div 2 \frac{2}{3}=

Convert to improper fractions: Now that we have both numbers as improper fractions, we can divide them by multiplying the first fraction by the reciprocal of the second fraction. $\newline$ Calculation: $(\frac{5}{2}) \div (\frac{8}{3}) = (\frac{5}{2}) \times (\frac{3}{8})$
Multiply the fractions: Next, we multiply the numerators together and the denominators together to find the product. $\newline$ Calculation: $(5 \times 3) / (2 \times 8) = 15/16$
Check for simplification: We check to see if the fraction $\frac{15}{16}$ can be simplified further. Since $15$ and $16$ have no common factors other than $1$ , the fraction is already in its simplest form.
Final answer: The final answer is the simplified fraction, which is the quotient of the original division problem. $\newline$ Final Answer: $\frac{15}{16}$