What is 57/63 Divided By 1/6

Solving $\frac{57}{63}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{63} \div \frac{1}{6} = \frac{57}{63} \times \frac{6}{1}$

• Multiply the Numerators: $57 \times 6 = 342$
• Multiply the Denominators: $63 \times 1 = 63$
• Form the New Fraction: $\frac{57}{63} \times \frac{1}{6} = \frac{342}{63}$

Let's Simplify $\frac{342}{63}$

• Find the Greatest Common Divisor (GCD) of $342$ and $63$. The GCD of $342$ and $63$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 9}{63 \div 9} = \frac{38}{7}$

Answer $\frac{57}{63}\div\frac{1}{6} = \frac{38}{7}$

The following animation demonstrates the divide-by,