What is 39/34 Divided By 9/5

Solving $\frac{39}{34}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{34} \div \frac{9}{5} = \frac{39}{34} \times \frac{5}{9}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{39}{34} \times \frac{9}{5} = \frac{195}{306}$

Let's Simplify $\frac{195}{306}$

• Find the Greatest Common Divisor (GCD) of $195$ and $306$. The GCD of $195$ and $306$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 3}{306 \div 3} = \frac{65}{102}$

Answer $\frac{39}{34}\div\frac{9}{5} = \frac{65}{102}$

The following animation demonstrates the divide-by,