Respuesta :

You’re essentially doing (4/7) / (3/5). To do this, first find the reciprocal of the second fraction, 3/5 (You can find a reciprocal of a fraction by switching the numerator with the denominator.) The reciprocal of 3/5 is 5/3. Now you can simple multiply 4/7 by 5/3 which is 20/21.

Answer=20/2q

The quotient of [tex]\frac{4}{7} $ and $ \frac{3}{5}[/tex] is [tex]\frac{20}{21}[/tex]

Recall:

The quotient of two quantities or values is the result you get by dividing one with the other.

Therefore, the quotient of [tex]\frac{4}{7} $ and $ \frac{3}{5}[/tex] is solved as shown below:

[tex]\frac{4}{7} \div \frac{3}{5} \\[/tex]

Change the division sign to multiplication sign and turn the second fraction upside down

[tex]\frac{4}{7} \times \frac{5}{3} \\[/tex]

Multiply both fractions together

[tex]= \frac{4 \times 5}{7 \times 3}\\= \frac{20}{21}[/tex]

Therefore the quotient of [tex]\frac{4}{7} $ and $ \frac{3}{5}[/tex] is [tex]\frac{20}{21}[/tex]

Learn more about finding quotient here:

https://brainly.com/question/629998

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