What is 76/24 Divided By 6/8

Solving $\frac{76}{24}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{24} \div \frac{6}{8} = \frac{76}{24} \times \frac{8}{6}$

• Multiply the Numerators: $76 \times 8 = 608$
• Multiply the Denominators: $24 \times 6 = 144$
• Form the New Fraction: $\frac{76}{24} \times \frac{6}{8} = \frac{608}{144}$

Let's Simplify $\frac{608}{144}$

• Find the Greatest Common Divisor (GCD) of $608$ and $144$. The GCD of $608$ and $144$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{608 \div 16}{144 \div 16} = \frac{38}{9}$

Answer $\frac{76}{24}\div\frac{6}{8} = \frac{38}{9}$

The following animation demonstrates the divide-by,