What is 26/39 Divided By 4/5

Solving $\frac{26}{39}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{39} \div \frac{4}{5} = \frac{26}{39} \times \frac{5}{4}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $39 \times 4 = 156$
• Form the New Fraction: $\frac{26}{39} \times \frac{4}{5} = \frac{130}{156}$

Let's Simplify $\frac{130}{156}$

• Find the Greatest Common Divisor (GCD) of $130$ and $156$. The GCD of $130$ and $156$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 26}{156 \div 26} = \frac{5}{6}$

Answer $\frac{26}{39}\div\frac{4}{5} = \frac{5}{6}$

The following animation demonstrates the divide-by,