What is 26/39 Divided By 5/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,