What is 39/26 Divided By 2/5

Solving $\frac{39}{26}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{26} \div \frac{2}{5} = \frac{39}{26} \times \frac{5}{2}$

• Multiply the Numerators: $39 \times 5 = 195$
• Multiply the Denominators: $26 \times 2 = 52$
• Form the New Fraction: $\frac{39}{26} \times \frac{2}{5} = \frac{195}{52}$

Let's Simplify $\frac{195}{52}$

• Find the Greatest Common Divisor (GCD) of $195$ and $52$. The GCD of $195$ and $52$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{195 \div 13}{52 \div 13} = \frac{15}{4}$

Answer $\frac{39}{26}\div\frac{2}{5} = \frac{15}{4}$

The following animation demonstrates the divide-by,