What is 35/66 Divided By 7/2

Solving $\frac{35}{66}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{66} \div \frac{7}{2} = \frac{35}{66} \times \frac{2}{7}$

• Multiply the Numerators: $35 \times 2 = 70$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{35}{66} \times \frac{7}{2} = \frac{70}{462}$

Let's Simplify $\frac{70}{462}$

• Find the Greatest Common Divisor (GCD) of $70$ and $462$. The GCD of $70$ and $462$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{70 \div 14}{462 \div 14} = \frac{5}{33}$

Answer $\frac{35}{66}\div\frac{7}{2} = \frac{5}{33}$

The following animation demonstrates the divide-by,