What is 76/27 Divided By 4/6

Solving $\frac{76}{27}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{27} \div \frac{4}{6} = \frac{76}{27} \times \frac{6}{4}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $27 \times 4 = 108$
• Form the New Fraction: $\frac{76}{27} \times \frac{4}{6} = \frac{456}{108}$

Let's Simplify $\frac{456}{108}$

• Find the Greatest Common Divisor (GCD) of $456$ and $108$. The GCD of $456$ and $108$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 12}{108 \div 12} = \frac{38}{9}$

Answer $\frac{76}{27}\div\frac{4}{6} = \frac{38}{9}$

The following animation demonstrates the divide-by,