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

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. (2/3) ÷ (-(2/7)) = (2/3) * (-(7/2))Multiply numerators and denominators: Multiply the numerators and the denominators. (2 * -7) / (3 * 2) = -14 / 6Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. -14 / 6 = (-7 / 3)

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Divide.
Write your answer in simplest form.

(2)/(3)÷(-(2)/(7))=?

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

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Math Problems

Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

\frac{2}{3} \div\left(-\frac{2}{7}\right)=?

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. $\newline$ (\frac{$2$}{$3$}) \div (-(\frac{$2$}{$7$})) = (\frac{$2$}{$3$}) \times (-(\frac{$7$}{$2$}))
Multiply numerators and denominators: Multiply the numerators and the denominators.\(\newline $(2 \times -7) / (3 \times 2) = -14 / 6$
Simplify the fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $-14 / 6 = (-7 / 3)$