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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (7)/(8)÷(7)/(3) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{7}{8} \div \frac{7}{3}$ $\newline$ Answer:

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Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

\newline

\frac{7}{8} \div \frac{7}{3}

\newline

Answer:

Identify Division: Identify the division of two fractions and recall that dividing by a fraction is the same as multiplying by its reciprocal.
Write as Multiplication: Write the problem as a multiplication problem by taking the reciprocal of the second fraction. $\newline$ $(\frac{7}{8}) \div (\frac{7}{3}) = (\frac{7}{8}) \times (\frac{3}{7})$
Multiply Numerators and Denominators: Multiply the numerators together and the denominators together. $\newline$ $(7 \times 3) / (8 \times 7) = 21 / 56$
Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of $21$ and $56$ is $7$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $(21 \div 7) / (56 \div 7) = 3 / 8$