What is 76/38 Divided By 8/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,