What is 26/39 Divided By 7/5

Solving $\frac{26}{39}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{39} \div \frac{7}{5} = \frac{26}{39} \times \frac{5}{7}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $39 \times 7 = 273$
• Form the New Fraction: $\frac{26}{39} \times \frac{7}{5} = \frac{130}{273}$

Let's Simplify $\frac{130}{273}$

• Find the Greatest Common Divisor (GCD) of $130$ and $273$. The GCD of $130$ and $273$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 13}{273 \div 13} = \frac{10}{21}$

Answer $\frac{26}{39}\div\frac{7}{5} = \frac{10}{21}$

The following animation demonstrates the divide-by,