Divide. Write your answer in simplest form. -(3)/(2)÷(7)/(4)=?

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. -3/2 ÷ 7/4 = -3/2 * 4/7Multiply numerators and denominators: Now, multiply the numerators and the denominators. (-3 * 4) / (2 * 7) = -12 / 14Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2. -12 / 14 = (-12 ÷ 2) / (14 ÷ 2) = -6 / 7

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Divide.
Write your answer in simplest form.

-(3)/(2)÷(7)/(4)=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $-\frac{3}{2} \div \frac{7}{4}=?$

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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}{2} \div \frac{7}{4}=?

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. $\newline$ $-\frac{3}{2} \div \frac{7}{4} = -\frac{3}{2} \times \frac{4}{7}$
Multiply numerators and denominators: Now, multiply the numerators and the denominators. $\newline$ $(-3 \times 4) / (2 \times 7) = -12 / 14$
Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is $2$ . $-12 / 14 = (-12 \div 2) / (14 \div 2) = -6 / 7$