What is 66/83 Divided By 4/6

Solving $\frac{66}{83}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{83} \div \frac{4}{6} = \frac{66}{83} \times \frac{6}{4}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $83 \times 4 = 332$
• Form the New Fraction: $\frac{66}{83} \times \frac{4}{6} = \frac{396}{332}$

Let's Simplify $\frac{396}{332}$

• Find the Greatest Common Divisor (GCD) of $396$ and $332$. The GCD of $396$ and $332$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 4}{332 \div 4} = \frac{99}{83}$

Answer $\frac{66}{83}\div\frac{4}{6} = \frac{99}{83}$

The following animation demonstrates the divide-by,