What is 50/60 Divided By 3/8

Solving $\frac{50}{60}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{60} \div \frac{3}{8} = \frac{50}{60} \times \frac{8}{3}$

• Multiply the Numerators: $50 \times 8 = 400$
• Multiply the Denominators: $60 \times 3 = 180$
• Form the New Fraction: $\frac{50}{60} \times \frac{3}{8} = \frac{400}{180}$

Let's Simplify $\frac{400}{180}$

• Find the Greatest Common Divisor (GCD) of $400$ and $180$. The GCD of $400$ and $180$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{400 \div 20}{180 \div 20} = \frac{20}{9}$

Answer $\frac{50}{60}\div\frac{3}{8} = \frac{20}{9}$

The following animation demonstrates the divide-by,