What is 27/81 Divided By 1/7

Solving $\frac{27}{81}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{81} \div \frac{1}{7} = \frac{27}{81} \times \frac{7}{1}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{27}{81} \times \frac{1}{7} = \frac{189}{81}$

Let's Simplify $\frac{189}{81}$

• Find the Greatest Common Divisor (GCD) of $189$ and $81$. The GCD of $189$ and $81$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 27}{81 \div 27} = \frac{7}{3}$

Answer $\frac{27}{81}\div\frac{1}{7} = \frac{7}{3}$

The following animation demonstrates the divide-by,