What is 76/72 Divided By 1/6

Solving $\frac{76}{72}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{72} \div \frac{1}{6} = \frac{76}{72} \times \frac{6}{1}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $72 \times 1 = 72$
• Form the New Fraction: $\frac{76}{72} \times \frac{1}{6} = \frac{456}{72}$

Let's Simplify $\frac{456}{72}$

• Find the Greatest Common Divisor (GCD) of $456$ and $72$. The GCD of $456$ and $72$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 24}{72 \div 24} = \frac{19}{3}$

Answer $\frac{76}{72}\div\frac{1}{6} = \frac{19}{3}$

The following animation demonstrates the divide-by,