What is 39/91 Divided By 3/5

Solving $\frac{39}{91}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{91} \div \frac{3}{5} = \frac{39}{91} \times \frac{5}{3}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $91 \times 3 = 273$
• Form the New Fraction: $\frac{39}{91} \times \frac{3}{5} = \frac{195}{273}$

Let's Simplify $\frac{195}{273}$

• Find the Greatest Common Divisor (GCD) of $195$ and $273$. The GCD of $195$ and $273$ is $39$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 39}{273 \div 39} = \frac{5}{7}$

Answer $\frac{39}{91}\div\frac{3}{5} = \frac{5}{7}$

The following animation demonstrates the divide-by,