What is 26/39 Divided By 5/3

Solving $\frac{26}{39}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{39} \div \frac{5}{3} = \frac{26}{39} \times \frac{3}{5}$

• Multiply the Numerators: $26 \times 3 = 78$
• Multiply the Denominators: $39 \times 5 = 195$
• Form the New Fraction: $\frac{26}{39} \times \frac{5}{3} = \frac{78}{195}$

Let's Simplify $\frac{78}{195}$

• Find the Greatest Common Divisor (GCD) of $78$ and $195$. The GCD of $78$ and $195$ is $39$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 39}{195 \div 39} = \frac{2}{5}$

Answer $\frac{26}{39}\div\frac{5}{3} = \frac{2}{5}$

The following animation demonstrates the divide-by,