What is 57/76 Divided By 1/6

Solving $\frac{57}{76}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{76} \div \frac{1}{6} = \frac{57}{76} \times \frac{6}{1}$

• Multiply the Numerators: $57 \times 6 = 342$
• Multiply the Denominators: $76 \times 1 = 76$
• Form the New Fraction: $\frac{57}{76} \times \frac{1}{6} = \frac{342}{76}$

Let's Simplify $\frac{342}{76}$

• Find the Greatest Common Divisor (GCD) of $342$ and $76$. The GCD of $342$ and $76$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 38}{76 \div 38} = \frac{9}{2}$

Answer $\frac{57}{76}\div\frac{1}{6} = \frac{9}{2}$

The following animation demonstrates the divide-by,