What is 38/95 Divided By 8/6

Solving $\frac{38}{95}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{95} \div \frac{8}{6} = \frac{38}{95} \times \frac{6}{8}$

• Multiply the Numerators: $38 \times 6 = 228$
• Multiply the Denominators: $95 \times 8 = 760$
• Form the New Fraction: $\frac{38}{95} \times \frac{8}{6} = \frac{228}{760}$

Let's Simplify $\frac{228}{760}$

• Find the Greatest Common Divisor (GCD) of $228$ and $760$. The GCD of $228$ and $760$ is $76$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 76}{760 \div 76} = \frac{3}{10}$

Answer $\frac{38}{95}\div\frac{8}{6} = \frac{3}{10}$

The following animation demonstrates the divide-by,