What is 76/81 Divided By 6/5

Solving $\frac{76}{81}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{81} \div \frac{6}{5} = \frac{76}{81} \times \frac{5}{6}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $81 \times 6 = 486$
• Form the New Fraction: $\frac{76}{81} \times \frac{6}{5} = \frac{380}{486}$

Let's Simplify $\frac{380}{486}$

• Find the Greatest Common Divisor (GCD) of $380$ and $486$. The GCD of $380$ and $486$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 2}{486 \div 2} = \frac{190}{243}$

Answer $\frac{76}{81}\div\frac{6}{5} = \frac{190}{243}$

The following animation demonstrates the divide-by,