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$Simplify. Write your answer as a proper or improper fraction in simplest form. ((5)/(8))/((5)/(8))=(◻)/(◻)$

Simplify. Write your answer as a proper or improper fraction in simplest form. $\newline$ $\frac{\frac{5}{8}} {\frac{5}{8}}=\frac{\Box}{\Box}$

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Multiplication with rational exponents

Full solution

Q. Simplify. Write your answer as a proper or improper fraction in simplest form.

\newline

\frac{\frac{5}{8}} {\frac{5}{8}}=\frac{\Box}{\Box}

Understand the problem: Understand the problem. $\newline$ We need to simplify the expression $\left(\frac{5}{8}\right)/\left(\frac{5}{8}\right)$ . This is a division of two identical fractions.
Apply division rule: Apply the rule for dividing fractions. $\newline$ To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ $\frac{5}{8}$ $\div$ $\frac{5}{8}$ = $\frac{5}{8}$ $\times$ $\frac{8}{5}$
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ $(5 \times 8) / (8 \times 5) = 40 / 40$
Simplify the fraction: Simplify the fraction. $\newline$ Since the numerator and the denominator are the same, the fraction simplifies to $1$ . $\newline$ $40 / 40 = 1$

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