Divide. Write your answer in simplest form. -(5)/(8)÷(-(7)/(2))=?

Reciprocal Multiplication: First, remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we need to multiply -(5/8) by the reciprocal of -(7/2), which is -2/7. Calculation: -(5/8) * (-2/7)Numerators and Denominators: Now, multiply the numerators and the denominators separately. For the numerators: -5 * -2 = 10 For the denominators: 8 * 7 = 56 So, the new fraction is 10/56.Fraction Simplification: Finally, simplify the fraction 10/56 by finding the greatest common divisor (GCD) of 10 and 56, which is 2. Divide both the numerator and the denominator by 2. Calculation: (10/2)/(56/2) = 5/28

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Divide.
Write your answer in simplest form.

-(5)/(8)÷(-(7)/(2))=?

Divide. $\newline$ Write your answer in simplest form. $\newline$ $-\frac{5}{8} \div\left(-\frac{7}{2}\right)=?$

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Algebra 1

Evaluate rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

-\frac{5}{8} \div\left(-\frac{7}{2}\right)=?

Reciprocal Multiplication: First, remember that dividing by a fraction is the same as multiplying by its reciprocal. $\newline$ So, we need to multiply $-\frac{5}{8}$ by the reciprocal of $-\frac{7}{2}$ , which is $-\frac{2}{7}$ . $\newline$ Calculation: $-\frac{5}{8} \times (-\frac{2}{7})$
Numerators and Denominators: Now, multiply the numerators and the denominators separately. $\newline$ For the numerators: $-5 \times -2 = 10$ $\newline$ For the denominators: $8 \times 7 = 56$ $\newline$ So, the new fraction is $\frac{10}{56}$ .
Fraction Simplification: Finally, simplify the fraction $\frac{10}{56}$ by finding the greatest common divisor (GCD) of $10$ and $56$ , which is $2$ . Divide both the numerator and the denominator by $2$ . Calculation: $\frac{10}{2}/\frac{56}{2} = \frac{5}{28}$