What is 66/35 Divided By 8/3

Solving $\frac{66}{35}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{35} \div \frac{8}{3} = \frac{66}{35} \times \frac{3}{8}$

• Multiply the Numerators: $66 \times 3 = 198$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{66}{35} \times \frac{8}{3} = \frac{198}{280}$

Let's Simplify $\frac{198}{280}$

• Find the Greatest Common Divisor (GCD) of $198$ and $280$. The GCD of $198$ and $280$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 2}{280 \div 2} = \frac{99}{140}$

Answer $\frac{66}{35}\div\frac{8}{3} = \frac{99}{140}$

The following animation demonstrates the divide-by,