What is 76/19 Divided By 9/6

Solving $\frac{76}{19}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{19} \div \frac{9}{6} = \frac{76}{19} \times \frac{6}{9}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{76}{19} \times \frac{9}{6} = \frac{456}{171}$

Let's Simplify $\frac{456}{171}$

• Find the Greatest Common Divisor (GCD) of $456$ and $171$. The GCD of $456$ and $171$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 57}{171 \div 57} = \frac{8}{3}$

Answer $\frac{76}{19}\div\frac{9}{6} = \frac{8}{3}$

The following animation demonstrates the divide-by,