Divide. Write the quotient in lowest terms. 3(3)/(4)÷(5)/(7)=

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Divide. Write the quotient in lowest terms.  3(3)/(4)÷(5)/(7)=

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Identify Problem: Identify the given problem and write it in mathematical form. We have the division of two fractions: $ \frac{3 \times \frac{3}{4}}{\frac{5}{7}} $.Rewrite Division as Multiplication: Rewrite the division of fractions as multiplication by the reciprocal of the divisor. To divide by a fraction, we multiply by its reciprocal. So, $ \frac{3 \times \frac{3}{4}}{\frac{5}{7}} $ becomes $ 3 \times \frac{3}{4} \times \frac{7}{5} $.Simplify Whole Number Multiplication: Simplify the multiplication of the whole number with the fraction before multiplying with the reciprocal. First, multiply 3 by $ \frac{3}{4} $ to get $ \frac{9}{4} $.Multiply by Reciprocal: Now, multiply $ \frac{9}{4} $ by the reciprocal of $ \frac{5}{7} $, which is $ \frac{7}{5} $. Perform the multiplication: $ \frac{9}{4} \times \frac{7}{5} = \frac{9 \times 7}{4 \times 5} $.Calculate Numerator and Denominator: Calculate the numerator and the denominator separately. The numerator is $ 9 \times 7 = 63 $. The denominator is $ 4 \times 5 = 20 $. So, we have $ \frac{63}{20} $.Check for Further Simplification: Check if the fraction $ \frac{63}{20} $ can be simplified further. The numerator and the denominator have no common factors other than 1, so the fraction is already in its lowest terms.

Divide. Write the quotient in lowest terms. $\newline$ $3 \frac{3}{4} \div \frac{5}{7}=$

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Divide. Write the quotient in lowest terms.\newline334÷57= 3 \frac{3}{4} \div \frac{5}{7}= 343​÷75​=

Divide. Write the quotient in lowest terms. $\newline$ $3 \frac{3}{4} \div \frac{5}{7}=$