Divide. Write your answer in simplest form. -(3)/(7)÷(3)/(8)=?

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. -(3/7) ÷ (3/8) = -(3/7) * (8/3)Multiply numerators and denominators: Multiply the numerators and the denominators. -3 * 8 = -24 and 7 * 3 = 21 So, -(3/7) * (8/3) = -24/21Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. -24 ÷ 3 = -8 and 21 ÷ 3 = 7 So, -24/21 simplifies to -8/7

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Divide.
Write your answer in simplest form.

-(3)/(7)÷(3)/(8)=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $-\frac{3}{7} \div \frac{3}{8}=?$

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

-\frac{3}{7} \div \frac{3}{8}=?

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. $\newline$ $-\frac{3}{7} \div \frac{3}{8} = -\frac{3}{7} \times \frac{8}{3}$
Multiply numerators and denominators: Multiply the numerators and the denominators. $\newline$ $-3 \times 8 = -24$ and $7 \times 3 = 21$ $\newline$ So, $-\left(\frac{3}{7}\right) \times \left(\frac{8}{3}\right) = \frac{-24}{21}$
Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $-24 \div 3 = -8$ and $21 \div 3 = 7$ $\newline$ So, $-\frac{24}{21}$ simplifies to $-\frac{8}{7}$