What is 76/88 Divided By 1/6

Solving $\frac{76}{88}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{88} \div \frac{1}{6} = \frac{76}{88} \times \frac{6}{1}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{76}{88} \times \frac{1}{6} = \frac{456}{88}$

Let's Simplify $\frac{456}{88}$

• Find the Greatest Common Divisor (GCD) of $456$ and $88$. The GCD of $456$ and $88$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 8}{88 \div 8} = \frac{57}{11}$

Answer $\frac{76}{88}\div\frac{1}{6} = \frac{57}{11}$

The following animation demonstrates the divide-by,