What is 66/24 Divided By 5/7

Solving $\frac{66}{24}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{24} \div \frac{5}{7} = \frac{66}{24} \times \frac{7}{5}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{66}{24} \times \frac{5}{7} = \frac{462}{120}$

Let's Simplify $\frac{462}{120}$

• Find the Greatest Common Divisor (GCD) of $462$ and $120$. The GCD of $462$ and $120$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 6}{120 \div 6} = \frac{77}{20}$

Answer $\frac{66}{24}\div\frac{5}{7} = \frac{77}{20}$

The following animation demonstrates the divide-by,