What is 39/91 Divided By 2/5

Solving $\frac{39}{91}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{91} \div \frac{2}{5} = \frac{39}{91} \times \frac{5}{2}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $91 \times 2 = 182$
• Form the New Fraction: $\frac{39}{91} \times \frac{2}{5} = \frac{195}{182}$

Let's Simplify $\frac{195}{182}$

• Find the Greatest Common Divisor (GCD) of $195$ and $182$. The GCD of $195$ and $182$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 13}{182 \div 13} = \frac{15}{14}$

Answer $\frac{39}{91}\div\frac{2}{5} = \frac{15}{14}$

The following animation demonstrates the divide-by,