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Divide.
Write your answer in simplest form.

-(1)/(4)÷(-(7)/(9))=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $-\frac{1}{4} \div\left(-\frac{7}{9}\right)=?$

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Evaluate rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

-\frac{1}{4} \div\left(-\frac{7}{9}\right)=?

Reciprocal Multiplication: First, remember that dividing by a fraction is the same as multiplying by its reciprocal. $\newline$ So, we need to multiply $-\frac{1}{4}$ by the reciprocal of $-\frac{7}{9}$ , which is $-\frac{9}{7}$ . $\newline$ Calculation: $-\frac{1}{4} \times -\frac{9}{7}$
Numerical Calculation: Now, multiply the numerators and the denominators separately. $\newline$ $-1 \times -9 = 9$ (for the numerators) $\newline$ $4 \times 7 = 28$ (for the denominators) $\newline$ So, we get $\frac{9}{28}$ .
Simplification Check: Check if $\frac{9}{28}$ can be simplified. $\newline$ Both $9$ and $28$ don't have any common factors other than $1$ , so it's already in simplest form.

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