What is 26/39 Divided By 1/7

Solving $\frac{26}{39}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{39} \div \frac{1}{7} = \frac{26}{39} \times \frac{7}{1}$

• Multiply the Numerators: $26 \times 7 = 182$
• Multiply the Denominators: $39 \times 1 = 39$
• Form the New Fraction: $\frac{26}{39} \times \frac{1}{7} = \frac{182}{39}$

Let's Simplify $\frac{182}{39}$

• Find the Greatest Common Divisor (GCD) of $182$ and $39$. The GCD of $182$ and $39$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 13}{39 \div 13} = \frac{14}{3}$

Answer $\frac{26}{39}\div\frac{1}{7} = \frac{14}{3}$

The following animation demonstrates the divide-by,