What is 46/66 Divided By 5/7

Solving $\frac{46}{66}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{66} \div \frac{5}{7} = \frac{46}{66} \times \frac{7}{5}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $66 \times 5 = 330$
• Form the New Fraction: $\frac{46}{66} \times \frac{5}{7} = \frac{322}{330}$

Let's Simplify $\frac{322}{330}$

• Find the Greatest Common Divisor (GCD) of $322$ and $330$. The GCD of $322$ and $330$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{330 \div 2} = \frac{161}{165}$

Answer $\frac{46}{66}\div\frac{5}{7} = \frac{161}{165}$

The following animation demonstrates the divide-by,