Perform the operation and simplify the answer fully. (4)/(3)÷(4)/(5) Answer:

Identify Division and Reciprocal: Identify the division of two fractions and recall that dividing by a fraction is the same as multiplying by its reciprocal. So, (4/3) ÷ (4/5) is the same as (4/3) * (5/4).Multiply Numerators and Denominators: Multiply the numerators together and the denominators together. (4/3) * (5/4) = (4 * 5) / (3 * 4).Perform Multiplication: Perform the multiplication. (4 * 5) / (3 * 4) = 20 / 12.Simplify Fraction by GCD: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. 20 / 12 = (20 ÷ 4) / (12 ÷ 4).Complete Division to Simplify: Complete the division to simplify the fraction. (20 ÷ 4) / (12 ÷ 4) = 5 / 3.

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Q. Perform the operation and simplify the answer fully.

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\frac{4}{3} \div \frac{4}{5}

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Answer:

Identify Division and Reciprocal: Identify the division of two fractions and recall that dividing by a fraction is the same as multiplying by its reciprocal. $\newline$ So, $(\frac{4}{3}) \div (\frac{4}{5})$ is the same as $(\frac{4}{3}) \times (\frac{5}{4})$ .
Multiply Numerators and Denominators: Multiply the numerators together and the denominators together. $\newline$ $(\frac{4}{3}) \times (\frac{5}{4}) = (\frac{4 \times 5}{3 \times 4})$ .
Perform Multiplication: Perform the multiplication. $\newline$ $(4 \times 5) / (3 \times 4) = 20 / 12$ .
Simplify Fraction by GCD: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $\frac{20}{12} = \left(\frac{20 \div 4}{12 \div 4}\right)$ .
Complete Division to Simplify: Complete the division to simplify the fraction. $\newline$ $(20 \div 4) / (12 \div 4) = \frac{5}{3}$ .