Divide. Write your answer in simplest form. -(5)/(2)÷(5)/(7)=?

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. -5/2 ÷ 5/7 = -5/2 * 7/5Multiply numerators and denominators: Now, multiply the numerators and the denominators. (-5 * 7) / (2 * 5) = -35/10Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 5. -35/10 ÷ 5/5 = -7/2

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Divide.
Write your answer in simplest form.

-(5)/(2)÷(5)/(7)=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $-\frac{5}{2} \div \frac{5}{7}=?$

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

-\frac{5}{2} \div \frac{5}{7}=?

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. $\newline$ $-\frac{5}{2} \div \frac{5}{7} = -\frac{5}{2} \times \frac{7}{5}$
Multiply numerators and denominators: Now, multiply the numerators and the denominators. $(-5 \times 7) / (2 \times 5) = -35/10$
Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is $5$ . $\newline$ $\frac{-35}{10} \div \frac{5}{5} = \frac{-7}{2}$