What is 76/42 Divided By 4/9

Solving $\frac{76}{42}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{42} \div \frac{4}{9} = \frac{76}{42} \times \frac{9}{4}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{76}{42} \times \frac{4}{9} = \frac{684}{168}$

Let's Simplify $\frac{684}{168}$

• Find the Greatest Common Divisor (GCD) of $684$ and $168$. The GCD of $684$ and $168$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 12}{168 \div 12} = \frac{57}{14}$

Answer $\frac{76}{42}\div\frac{4}{9} = \frac{57}{14}$

The following animation demonstrates the divide-by,