Divide. Write your answer in simplest form. (2)/(5)÷(2)/(3)=" ? "

Flip fraction: Flip the second fraction to find its reciprocal, so (2)/(3) becomes (3)/(2).Multiply fractions: Now multiply the first fraction by the reciprocal of the second fraction: (2)/(5) * (3)/(2).Multiply numerators: Multiply the numerators together: 2 * 3 = 6.Multiply denominators: Multiply the denominators together: 5 * 2 = 10.Write result: Write the result as a single fraction: 6/10.Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2: 6 ÷ 2 = 3 and 10 ÷ 2 = 5.Final simplified fraction: The simplified fraction is 3/5.

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Divide.
Write your answer in simplest form.

(2)/(5)÷(2)/(3)=" ? "

Divide. $\newline$ Write your answer in simplest form. $\newline$ $\frac{2}{5} \div \frac{2}{3}=?$

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

\frac{2}{5} \div \frac{2}{3}=?

Flip fraction: Flip the second fraction to find its reciprocal, so $(\frac{2}{3})$ becomes $(\frac{3}{2})$ .
Multiply fractions: Now multiply the first fraction by the reciprocal of the second fraction: $(\frac{2}{5}) \times (\frac{3}{2})$ .
Multiply numerators: Multiply the numerators together: $2 \times 3 = 6$ .
Multiply denominators: Multiply the denominators together: $5 \times 2 = 10$ .
Write result: Write the result as a single fraction: $\frac{6}{10}.$
Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is $2$ : $6 \div 2 = 3$ and $10 \div 2 = 5$ .
Final simplified fraction: The simplified fraction is $\frac{3}{5}.$