What is 39/99 Divided By 7/6

Solving $\frac{39}{99}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{99} \div \frac{7}{6} = \frac{39}{99} \times \frac{6}{7}$

• Multiply the Numerators: $39 \times 6 = 234$
• Multiply the Denominators: $99 \times 7 = 693$
• Form the New Fraction: $\frac{39}{99} \times \frac{7}{6} = \frac{234}{693}$

Let's Simplify $\frac{234}{693}$

• Find the Greatest Common Divisor (GCD) of $234$ and $693$. The GCD of $234$ and $693$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{234 \div 9}{693 \div 9} = \frac{26}{77}$

Answer $\frac{39}{99}\div\frac{7}{6} = \frac{26}{77}$

The following animation demonstrates the divide-by,