What is 70/63 Divided By 1/6

Solving $\frac{70}{63}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{63} \div \frac{1}{6} = \frac{70}{63} \times \frac{6}{1}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $63 \times 1 = 63$
• Form the New Fraction: $\frac{70}{63} \times \frac{1}{6} = \frac{420}{63}$

Let's Simplify $\frac{420}{63}$

• Find the Greatest Common Divisor (GCD) of $420$ and $63$. The GCD of $420$ and $63$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 21}{63 \div 21} = \frac{20}{3}$

Answer $\frac{70}{63}\div\frac{1}{6} = \frac{20}{3}$

The following animation demonstrates the divide-by,