What is 76/34 Divided By 6/9

Solving $\frac{76}{34}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{34} \div \frac{6}{9} = \frac{76}{34} \times \frac{9}{6}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $34 \times 6 = 204$
• Form the New Fraction: $\frac{76}{34} \times \frac{6}{9} = \frac{684}{204}$

Let's Simplify $\frac{684}{204}$

• Find the Greatest Common Divisor (GCD) of $684$ and $204$. The GCD of $684$ and $204$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 12}{204 \div 12} = \frac{57}{17}$

Answer $\frac{76}{34}\div\frac{6}{9} = \frac{57}{17}$

The following animation demonstrates the divide-by,