What is 38/76 Divided By 6/8

Solving $\frac{38}{76}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{76} \div \frac{6}{8} = \frac{38}{76} \times \frac{8}{6}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $76 \times 6 = 456$
• Form the New Fraction: $\frac{38}{76} \times \frac{6}{8} = \frac{304}{456}$

Let's Simplify $\frac{304}{456}$

• Find the Greatest Common Divisor (GCD) of $304$ and $456$. The GCD of $304$ and $456$ is $152$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 152}{456 \div 152} = \frac{2}{3}$

Answer $\frac{38}{76}\div\frac{6}{8} = \frac{2}{3}$

The following animation demonstrates the divide-by,