What is 26/52 Divided By 1/7

Solving $\frac{26}{52}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{52} \div \frac{1}{7} = \frac{26}{52} \times \frac{7}{1}$

• Multiply the Numerators: $26 \times 7 = 182$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{26}{52} \times \frac{1}{7} = \frac{182}{52}$

Let's Simplify $\frac{182}{52}$

• Find the Greatest Common Divisor (GCD) of $182$ and $52$. The GCD of $182$ and $52$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 26}{52 \div 26} = \frac{7}{2}$

Answer $\frac{26}{52}\div\frac{1}{7} = \frac{7}{2}$

The following animation demonstrates the divide-by,