What is 50/12 Divided By 5/8

Solving $\frac{50}{12}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{12} \div \frac{5}{8} = \frac{50}{12} \times \frac{8}{5}$

• Multiply the Numerators: $50 \times 8 = 400$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{50}{12} \times \frac{5}{8} = \frac{400}{60}$

Let's Simplify $\frac{400}{60}$

• Find the Greatest Common Divisor (GCD) of $400$ and $60$. The GCD of $400$ and $60$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{400 \div 20}{60 \div 20} = \frac{20}{3}$

Answer $\frac{50}{12}\div\frac{5}{8} = \frac{20}{3}$

The following animation demonstrates the divide-by,