What is 39/38 Divided By 9/5

Solving $\frac{39}{38}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{38} \div \frac{9}{5} = \frac{39}{38} \times \frac{5}{9}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{39}{38} \times \frac{9}{5} = \frac{195}{342}$

Let's Simplify $\frac{195}{342}$

• Find the Greatest Common Divisor (GCD) of $195$ and $342$. The GCD of $195$ and $342$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 3}{342 \div 3} = \frac{65}{114}$

Answer $\frac{39}{38}\div\frac{9}{5} = \frac{65}{114}$

The following animation demonstrates the divide-by,