What is 76/17 Divided By 2/9

Solving $\frac{76}{17}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{17} \div \frac{2}{9} = \frac{76}{17} \times \frac{9}{2}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{76}{17} \times \frac{2}{9} = \frac{684}{34}$

Let's Simplify $\frac{684}{34}$

• Find the Greatest Common Divisor (GCD) of $684$ and $34$. The GCD of $684$ and $34$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 2}{34 \div 2} = \frac{342}{17}$

Answer $\frac{76}{17}\div\frac{2}{9} = \frac{342}{17}$

The following animation demonstrates the divide-by,