Step 1: Multiply by reciprocal: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Step 2: Perform the multiplication: The reciprocal of (35) is (53). Now we multiply (38) by (53).
Step 3: Simplify the multiplication: Perform the multiplication: (38)×(53)=(3×58×3).
Step 4: Simplify the fraction: Simplify the multiplication: (8×3)/(3×5)=24/15.
Step 5: Final result: Now, simplify the fraction 1524 by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
Step 5: Final result: Now, simplify the fraction 1524 by dividing both the numerator and the denominator by their greatest common divisor, which is 3. After simplification: (324)/(315)=58.
Step 5: Final result: Now, simplify the fraction 1524 by dividing both the numerator and the denominator by their greatest common divisor, which is 3. After simplification: (324)/(315)=58. The fraction 58 is the final result, and it cannot be simplified further. This is the answer to the division problem.
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