Write as multiplication problem: Write the division problem as a multiplication problem by taking the reciprocal of the second fraction.We have the division problem: 13q2r5q÷13qr. To divide by a fraction, we multiply by its reciprocal. So, we rewrite the problem as 13q2r5q×13qr1.
Simplify by multiplying: Simplify the expression by multiplying the numerators and denominators.Now we multiply the numerators together and the denominators together: (5q×1)/(13q2r×13qr).
Simplify denominators: Simplify the multiplication of the denominators.We have 13q2r×13qr=13×13×q2×q×r×r=169q3r2.
Simplify numerators: Simplify the multiplication of the numerators.We have 5q×1=5q.
Combine numerator and denominator: Combine the simplified numerator and denominator. Now we have 169q3r25q.
Cancel common factors: Cancel out the common factors in the numerator and denominator. The q in the numerator and one q in the denominator cancel out, leaving us with 169q2r25.
Check for further simplification: Check for any further simplification.The fraction 169q2r25 cannot be simplified further since 5 and 169 have no common factors other than 1, and there are no more common variables to cancel out.
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