What is 70/81 Divided By 1/6

Solving $\frac{70}{81}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{81} \div \frac{1}{6} = \frac{70}{81} \times \frac{6}{1}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{70}{81} \times \frac{1}{6} = \frac{420}{81}$

Let's Simplify $\frac{420}{81}$

• Find the Greatest Common Divisor (GCD) of $420$ and $81$. The GCD of $420$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 3}{81 \div 3} = \frac{140}{27}$

Answer $\frac{70}{81}\div\frac{1}{6} = \frac{140}{27}$

The following animation demonstrates the divide-by,