What is 53/66 Divided By 7/3

Solving $\frac{53}{66}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{66} \div \frac{7}{3} = \frac{53}{66} \times \frac{3}{7}$

• Multiply the Numerators: $53 \times 3 = 159$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{53}{66} \times \frac{7}{3} = \frac{159}{462}$

Let's Simplify $\frac{159}{462}$

• Find the Greatest Common Divisor (GCD) of $159$ and $462$. The GCD of $159$ and $462$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{159 \div 3}{462 \div 3} = \frac{53}{154}$

Answer $\frac{53}{66}\div\frac{7}{3} = \frac{53}{154}$

The following animation demonstrates the divide-by,