Evaluate (4/5)/(3/5)

Problem

(4/5)/(3/5)

Solution

1. Identify the operation as the division of two fractions.

2. Apply the rule for dividing fractions, which is to multiply the first fraction by the reciprocal of the second fraction.

4/5÷3/5=4/5⋅5/3

3. Multiply the numerators and the denominators.

(4⋅5)/(5⋅3)=20/15

4. Simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5

(20÷5)/(15÷5)=4/3

Final Answer

(4/5)/(3/5)=4/3

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