What is 50/24 Divided By 5/7

Solving $\frac{50}{24}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{24} \div \frac{5}{7} = \frac{50}{24} \times \frac{7}{5}$

• Multiply the Numerators: $50 \times 7 = 350$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{50}{24} \times \frac{5}{7} = \frac{350}{120}$

Let's Simplify $\frac{350}{120}$

• Find the Greatest Common Divisor (GCD) of $350$ and $120$. The GCD of $350$ and $120$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 10}{120 \div 10} = \frac{35}{12}$

Answer $\frac{50}{24}\div\frac{5}{7} = \frac{35}{12}$

The following animation demonstrates the divide-by,