What is 76/57 Divided By 3/5

Solving $\frac{76}{57}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{57} \div \frac{3}{5} = \frac{76}{57} \times \frac{5}{3}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $57 \times 3 = 171$
• Form the New Fraction: $\frac{76}{57} \times \frac{3}{5} = \frac{380}{171}$

Let's Simplify $\frac{380}{171}$

• Find the Greatest Common Divisor (GCD) of $380$ and $171$. The GCD of $380$ and $171$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 19}{171 \div 19} = \frac{20}{9}$

Answer $\frac{76}{57}\div\frac{3}{5} = \frac{20}{9}$

The following animation demonstrates the divide-by,