What is 99/66 Divided By 7/4

Solving $\frac{99}{66}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{66} \div \frac{7}{4} = \frac{99}{66} \times \frac{4}{7}$

• Multiply the Numerators: $99 \times 4 = 396$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{99}{66} \times \frac{7}{4} = \frac{396}{462}$

Let's Simplify $\frac{396}{462}$

• Find the Greatest Common Divisor (GCD) of $396$ and $462$. The GCD of $396$ and $462$ is $66$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 66}{462 \div 66} = \frac{6}{7}$

Answer $\frac{99}{66}\div\frac{7}{4} = \frac{6}{7}$

The following animation demonstrates the divide-by,