What is 39/66 Divided By 5/7

Solving $\frac{39}{66}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{66} \div \frac{5}{7} = \frac{39}{66} \times \frac{7}{5}$

• Multiply the Numerators: $39 \times 7 = 273$
• Multiply the Denominators: $66 \times 5 = 330$
• Form the New Fraction: $\frac{39}{66} \times \frac{5}{7} = \frac{273}{330}$

Let's Simplify $\frac{273}{330}$

• Find the Greatest Common Divisor (GCD) of $273$ and $330$. The GCD of $273$ and $330$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 3}{330 \div 3} = \frac{91}{110}$

Answer $\frac{39}{66}\div\frac{5}{7} = \frac{91}{110}$

The following animation demonstrates the divide-by,